Be careful when using polar coordinates (limit of a multivariable function) bprp calculus basics 2026-09-21 | Be careful when using polar coordinates (limit of a multivariable function)
The cross product (but why this way?) bprp calc basics 2026-03-25 | Have you ever wondered why we use the determinant of a 3 by 3 matrix to find the cross product of two vectors? Why do we define the cross product that way, and what exactly is the cross product anyway? This calculus 3 tutorial will answer all these!----------------------I help students master the basics of calculus. You can show your support and help me create even better content by becoming a patron on Patreon 👉 www.patreon.com/blackpenredpen----------------------Want more practice? Get my calculus practice quizzes on Patreon! Calculus 1 👉 patreon.com/collection/1703815Calculus 2 👉 patreon.com/collection/1716951----------------------#calculus #bprpcaluclus #mathtutorials #math
How to evaluate the flux of a vector field using the divergence theorem (vector surface integral) bprp calc basics 2026-03-24 | Multivariable calculus tutorial: learn how to evaluate the flux of a vector field using the divergence theorem. Note that the flux of a vector field is the same as the vector surface integral. Subscribe to @bprpcalcbasics for more calculus tutorials. ----------------------I help students master the basics of calculus. You can show your support and help me create even better content by becoming a patron on Patreon 👉 www.patreon.com/blackpenredpen----------------------Want more practice? Get my calculus practice quizzes on Patreon! Calculus 1 👉 patreon.com/collection/1703815Calculus 2 👉 patreon.com/collection/1716951----------------------#calculus #bprpcaluclus #mathtutorials #math
Double integral w/ change of variables & Jacobian bprp calc basics 2026-03-21 | This multivariable calculus 3 tutorial covers how to evaluate a double integral using the change of variables and Jacobian. This is an example from the textbook by James Stewart. Subscribe to @bprpcalcbasics for more calculus tutorials.----------------------I help students master the basics of calculus. You can show your support and help me create even better content by becoming a patron on Patreon 👉 www.patreon.com/blackpenredpen----------------------Want more practice? Get my calculus practice quizzes on Patreon! Calculus 1 👉 patreon.com/collection/1703815Calculus 2 👉 patreon.com/collection/1716951----------------------#calculus #bprpcaluclus #mathtutorials #math
How to use the squeeze theorem to evaluate the limit (multivariable calculus) bprp calc basics 2026-03-19 | Learn how to use the squeeze theorem to evaluate the limit of a multivariable function. For more examples, check out youtu.be/FJ-ofPVY5P8?si=0Dssel-ExBBqNg5h----------------------I help students master the basics of calculus. You can show your support and help me create even better content by becoming a patron on Patreon 👉 www.patreon.com/blackpenredpen----------------------Want more practice? Get my calculus practice quizzes on Patreon! Calculus 1 👉 patreon.com/collection/1703815Calculus 2 👉 patreon.com/collection/1716951----------------------#calculus #bprpcaluclus #mathtutorials #math
Had to struggle a lot to get this integral! bprp calc basics 2026-03-19 | Answering a viewer's suggested integral! Integral of (2+sqrt(x))/(x+sqrt(x)+1)^2 with some factoring and u sub. How to solve hard integrals with just u sub: youtu.be/C4RCgwNQu9E------------------------Want more practice? Get my calculus practice quizzes on Patreon! Calculus 1 👉 patreon.com/collection/1703815Calculus 2 👉 patreon.com/collection/1716951------------------------#calculus #apcalculus #mathtutorials #math
Be careful with partial derivative! bprp calc basics 2026-03-17 | Calculus 3 tutorial covering partial derivative with the definition.
How to solve a hard integral in 5 seconds! bprp calc basics 2026-03-13 | This integral is actually the "reverse product rule" in disguise. ------------------------Want more practice? Get my calculus practice quizzes on Patreon! Calculus 1 👉 patreon.com/collection/1703815Calculus 2 👉 patreon.com/collection/1716951------------------------#calculus #apcalculus #mathtutorials #math
I thought this integral was impossible bprp calc basics 2026-03-09 | How can we integrate sqrt(sin(x))/cos(x)? At first, I thought it was impossible because of the square root; the problem would have been easier if it were just the integral of sin(x)/cos(x). However, it is still possible, but we just have to choose a good u. -----------------------------------------------------------------------Want more practice? Get my calculus practice quizzes on Patreon! Calculus 1 👉 patreon.com/collection/1703815Calculus 2 👉 patreon.com/collection/1716951-----------------------------------------------------------------------#calculus #bprpcalculus #apcalculus #mathtutorials #math
2 similar improper integrals bprp calc basics 2026-03-04 | We will compare the integral of 1/(x+x*sqrt(x)) from 1 to inf and the integral of 1/(sqrt(x)+x*sqrt(x)) from 1 to infinity. Both of these are improper integrals and will require different methods of solving them. -----------------------------------------------------------------------Support this channel on Patreon: www.patreon.com/blackpenredpen-----------------------------------------------------------------------#calculus #bprpcalculus #calculus #mathtutorials #math
curl(grad f) vs div(curl F) bprp calc basics 2026-03-03 | Calculus tutorial going over the curl of the gradient of a function vs the divergence of the curl of a vector field. Make sure you know the notations: youtu.be/XM2yK7PBSII-----------------------------------------------------------------------Support this channel on Patreon: www.patreon.com/blackpenredpen-----------------------------------------------------------------------#calculus #bprpcalculus #calculus #math
Directional derivative problem, but you have to find the unit vector bprp calc basics 2026-03-02 | Calculus 3 tutorial: how to solve for the unit vector in a directional derivative problem.-----------------------------------------------------------------------Support this channel on Patreon: www.patreon.com/blackpenredpen-----------------------------------------------------------------------#calculus #multivariblecalculus #mathtutorials #bprp
How to use Greens Theorem for evaluating a line integral bprp calc basics 2026-03-01 | We have a line integral over a closed curve (here, a triangle) but traveled in the opposite orientation. How do we use Green's theorem to evaluate this line integral? -----------------------------------------------------------------------Support this channel on Patreon: www.patreon.com/blackpenredpen-----------------------------------------------------------------------#calculus #multivariblecalculus #mathtutorials #bprp
How to find the directional derivative (quick and simple) bprp calc basics 2026-02-28 | Calculus 3 tutorial going over how to find the directional derivative! Subscribe to @bprpcalcbasics for more calculus tutorials. -----------------------------------------------------------------------Support this channel on Patreon: www.patreon.com/blackpenredpen-----------------------------------------------------------------------#calculus #multivariblecalculus #mathtutorials #bprp
How to find the curl and the divergence of a vector field bprp calc basics 2026-02-27 | Calculus 3 (aka multivariable calculus or vector calculus) tutorial covering how to find the curl and the divergence of a vector field. Subscribe to @bprpcalcbasics for more calculus tutorials!-----------------------------------------------------------------------Support this channel on Patreon: www.patreon.com/blackpenredpen-----------------------------------------------------------------------#calculus #bprpcalculus #calculus #mathtutorials #math
Integral of sqrt(x^2-1)/x^4 with trig substitution bprp calc basics 2026-02-25 | Learn how to do the integral of sqrt(x^2-1)/x^4 with trigonometric substitution. This is a very common calculus 2 integration homework problem (from James Stewart's single variable calculus textbook). See the previous video: youtu.be/ALVLoZbw5BsWhy we dont need the absolute value when we do trig sub youtu.be/KzfQ49JkxzE?si=IX6BVQXi5qvUumBeRemember these integrals: youtu.be/fgkjsj9wZdkHow to choose the "u" youtube.com/watch?v=fYTJkkCyl4s-----------------------------------------------------------------------Want more practice? Get my calculus practice quizzes on Patreon! Calculus 1 👉 patreon.com/collection/1703815Calculus 2 👉 patreon.com/collection/1716951-----------------------------------------------------------------------#calculus #bprpcalculus #apcalculus #mathtutorials #math
You’re Doing Your Calculus Homework Wrong! bprp calc basics 2026-02-25 | As a community college instructor since 2012, I notice many calculus students have a big problem. They are doing their homework wrong! Not that they get the wrong answer, but they don't have the right approach or the mentality for doing the homework. Doing homework is not about getting the points (it's a small portion of your overall grade anyway). Doing homework is so that you can see if you can do the problems 100% on your own or not. I will show you how to approach doing your homework so you can gain confidence and feel good about the math! I will also give a bonus tip at the end. Here's how to integrate sqrt(x^2-1)/x^4 via trigonometry substitutionyoutu.be/d9VEH8PlTOU-----------------------------------------------------------------------Want more practice? Get my calculus practice quizzes on Patreon! Calculus 1 👉 patreon.com/collection/1703815Calculus 2 👉 patreon.com/collection/1716951-----------------------------------------------------------------------#calculus #bprpcalculus #mathtips #mathtutorials #mathhomework
No more confusions on these vector calculus notations bprp calc basics 2026-02-23 | We will go over 7 essential notations for your multivariable calculus class, including scalr vs vector functions, gradient of f (i.e. del f), vector field, curl of F, and divergence of F. Subscribe to @bprpcalcbasics for more calculus 3 tutorials!Support the channel: patreon.com/c/blackpenredpenShow that curl(del f)=0 and div(curl F)=0 youtu.be/NOdCTWFxi480:00 calculus 3 notations that you need to know0:19 scalar function f0:49 vector function r1:24 vector field F2:00 gradient (or del)2:31 gradient vector (del of f)3:08 curl of F5:10 divergence of F5:56 definition of a conservative vector field7:00 how to check of F is conservative
The most classic example that Green’s theorem fails! bprp calc basics 2026-02-20 | Here's a classic example of a line integral over the unit circle (i.e. a closed curve), but both Green's theorem and the fundamental theorem of line integrals fail! We will see what answers we get when we use those theorems, and compare that with the answer when we use parametrization. This classic example of a vector field is called "Vortex field". Support this channel: patreon.com/c/blackpenredpen0:00 Using Green's Theorem3:38 Using the fundamental theorem of line integrals7:12 Using parametrization (the actual answer)8:50 The problem & why#mathtutorials #lineintegrals #calculus3
How to evaluate a line integral with ds (scalar line integral, calculus 3) bprp calc basics 2026-02-19 | Here's an example of a scalar line integral, taken from the multivariable calculus textbook by James Stewart. We will integrate y*sin(z) with respect to the arc length, over the curve r=cost(t)i+sin(t)j+tkCheck out how to evaluate vector line integrals: youtu.be/eeRaIRgT0ME-----------------------------------------------------------------------Support this channel: patreon.com/c/blackpenredpen-----------------------------------------------------------------------#lineintegrals #bprpcalculus #calculus3 #mathtutorials
How to evaluate line integrals (3 ways: parametrization, fundamental theorem, Greens theorem) bprp calc basics 2026-02-18 | We will discuss the 3 main ways of evaluating line integrals: parametrization, the fundamental theorem of line integrals, and Green's theorem. We will have 3 examples and discuss which method is most appropriate under certain conditions. This tutorial will help you understand line integrals better for your calculus 3 class (i.e. multi-variable calculus class)-----------------------------------------------------------------------0:00 Just do the parametrization4:37 Fundamental theorem of line integrals12:03 Green's theorem -----------------------------------------------------------------------Want more practice? Get my calculus practice quizzes on Patreon! Calculus 1 👉 patreon.com/collection/1703815Calculus 2 👉 patreon.com/collection/1716951-----------------------------------------------------------------------#calculus #bprpcalculus #apcalculus #mathtutorials #math
3 rational function integrals, 3 different methods! bprp calc basics 2026-02-13 | Calculus 2 tutorial covering integrals of 3 rational functions. They look similar, but they’re solved differently. We will go over when to use partial fraction decomposition and when to use the completing the square method. Check out my 100 integrals for more practice: youtu.be/dgm4-3-Iv3s?si=6Yih5z9sikSZVBBE-----------------------------------------------------------------------Want more practice? Get my calculus practice quizzes on Patreon! Calculus 1 👉 patreon.com/collection/1703815Calculus 2 👉 patreon.com/collection/1716951-----------------------------------------------------------------------#calculus #bprpcalculus #apcalculus #mathtutorials #math
u substitution: how to choose the u bprp calc basics 2026-02-11 | We will answer the BIGGEST question when we do integrals with u-substitution, i.e. how do we choose the "u". This calculus tutorial covers 20 examples focusing on choosing the u for each integral. This is a great practice for any calc 1 or calc 2 students. Get the file: patreon.com/posts/150507474Next video: how to do trig integrals: youtu.be/UkOnnXvTADM-----------------------------------------------------------------------Want more practice? Get my calculus practice quizzes on Patreon! Calculus 1 👉 patreon.com/collection/1703815Calculus 2 👉 patreon.com/collection/1716951-----------------------------------------------------------------------#calculus #bprpcalculus #apcalculus #mathtutorials #math
Believe in power series, NOT LHopitals Rule bprp calc basics 2026-02-11 | We will evaluate the limit of (1-sin(x)/x)^(1/ln(x)) by using a power series. Note that this limit is in the 0^0 indeterminate form BUT the answer is NOT 1. Power series that you should know patreon.com/posts/102794443This question is from https://exam.lib.ntu.edu.tw/sites/default/files/exam//undergra/114/114-16.pdf-----------------------------------------------------------------------Want more practice? Get my calculus practice quizzes on Patreon! Calculus 1 👉 patreon.com/collection/1703815Calculus 2 👉 patreon.com/collection/1716951-----------------------------------------------------------------------#calculus #bprpcalculus #apcalculus #mathtutorials #math
Finding the centroid of a circular sector (using double integrals & polar coordinates) bprp calc basics 2026-02-09 | Here's an application of double integrals and polar coordinates. We will find the centroid of a circular sector. You will see why we should use the double-integral centroid formula instead of the single-integral ones. Understand the centroid formula here youtu.be/syjBmvs259g-----------------------------------------------------------------------Want more practice? Get my calculus practice quizzes on Patreon! Calculus 1 👉 patreon.com/collection/1703815Calculus 2 👉 patreon.com/collection/1716951-----------------------------------------------------------------------#calculus #bprpcalculus #apcalculus #mathtutorials #math
Is there anything useful that relies on 0^0=1? bprp calc basics 2026-02-09 | We will answer a viewer's question: Is there anything "useful" that relies on 0^0=1? How to remember power series: youtu.be/6KuPpwuLnyw-----------------------------------------------------------------------Want more practice? Get my calculus practice quizzes on Patreon! Calculus 1 👉 patreon.com/collection/1703815Calculus 2 👉 patreon.com/collection/1716951-----------------------------------------------------------------------#calculus #bprpcalculus #apcalculus #mathtutorials #math
The double-integral centroid formulas bprp calc basics 2026-02-07 | We will see how to find the centroid (aka center of mass) of a region with double integrals. In particular, we will see why we don't have the 1/2 and the ()^2 in the y bar formula with a double integral. Understand the idea and formula of the centroid of a region: youtu.be/ij77YxE9elU?si=YqO8CsQV210ylkcw-----------------------------------------------------------------------Want more practice? Get my calculus practice quizzes on Patreon! Calculus 1 👉 patreon.com/collection/1703815Calculus 2 👉 patreon.com/collection/1716951-----------------------------------------------------------------------
Single, double, and triple integrals! (basic notations & meanings) bprp calc basics 2026-02-03 | Calculus 3 tutorial on the notation of single, double, and triple integrals. This is an important idea and will help you really understand what's going on with all integration (we will do line integrals & surface integrals soon). Subscribe to @bprpcalcbasics for more calculus tutorials. -----------------------------------------------------------------------Support this channel on Patreon: www.patreon.com/blackpenredpen-----------------------------------------------------------------------#calculus #bprpcalculus #mathtutorials #math
Evaluating a Triple Integral Using Cylindrical Coordinates bprp calc basics 2026-02-02 | This calculus 3 tutorial covers how to use cylindrical coordinates to evaluate a triple integral volume problem. This is a continuation of my previous video: youtu.be/q55hDqFgDKAHere's why we need the extra "r" in changing from rectangular to polar: youtube.com/watch?v=r-38iiWg1vo-----------------------------------------------------------------------Want more practice? Get my calculus practice quizzes on Patreon! Calculus 1 👉 patreon.com/collection/1703815Calculus 2 👉 patreon.com/collection/1716951-----------------------------------------------------------------------#calculus #bprpcalculus #apcalculus #mathtutorials #math
1 elliptic paraboloid & 6 triple integrals (changing the order of dxdydz) bprp calc basics 2026-02-01 | Learn how to use triple integrals to find the volume of the solid, elliptic paraboloid, bounded by 9x^2+y^2=z, z=0, and z=4. We will also find all 6 possible orders for the differentials, namely dxdydz, dxdzdy, dydxdz, dydzdx, dzdxdy, and dzdydx, and how the limits of the integration would change based on the order! This is my most awesome video for triple integrals yet!Here's how to find the answer: youtu.be/8opIQSKuxXU-----------------------------------------------------------------------Want more practice? Get my calculus practice quizzes on Patreon! Calculus 1 👉 patreon.com/collection/1703815Calculus 2 👉 patreon.com/collection/1716951-----------------------------------------------------------------------#calculus #bprpcalculus #apcalculus #mathtutorials #maths 0:00 my most awesome video on triple integrals yet1:01 dxdydz and dxdzdy7:30 dydxdz and dydzdx12:18 dzdxdy and dzdydx
Why does the series of 1/n diverge BUT series of 1/n^2 converge? bprp calc basics 2026-01-22 | We will use the idea behind the integral test to understand the series of 1/n vs the series of 1/n^2. Note that both limit of an = 0, however, the sum of 1/n diverges to infinite, but the sum of 1/n^2 is actually pi^2/6. -----------------------------------------------------------------------Want more practice? Get my calculus practice quizzes on Patreon! Calculus 1 👉 patreon.com/collection/1703815Calculus 2 👉 patreon.com/collection/1716951-----------------------------------------------------------------------#calculus #bprpcalculus #apcalculus #mathtutorials #math
Why is the nth term test inconclusive if limit an = 0? Calc 2 infinite series, Reddit r/apcalculus bprp calc basics 2026-01-21 | Why can't we draw any conclusion for the series of a_n if the limit of a_n goes to 0? This is a very important concept for the n-th term test (aka test for divergence) when we work with infinite series in calculus 2. We will compare the series of 1/n vs the series of 1/n^2 with the integral test: youtu.be/3WijWw0peQ8This question is from Reddit r/apcalculusreddit.com/r/apcalculus/comments/1qeyk11/why_is_the_nth_term_test_indecisive_if_it_equal_0-----------------------------------------------------------------------Want more practice? Get my calculus practice quizzes on Patreon! Calculus 1 👉 patreon.com/collection/1703815Calculus 2 👉 patreon.com/collection/1716951-----------------------------------------------------------------------#calculus #bprpcalculus #apcalculus #mathtutorials #math
Is there an easier way to solve this limit? No L’Hôpital’s Rule! Reddit r/calculus bprp calc basics 2026-01-16 | Learn how to evaluate the limit of ((x+1)/(x+2))^x as x goes to infinity. Note that we do not need to use L’Hopital’s rule. This is a perfect practice limit problem for your calculus 2 class.This question is from Reddit: reddit.com/r/calculus/s/xjgU6MlYyA----------------------------------Want more practice? Get my calculus practice quizzes on Patreon! Calculus 1 👉 patreon.com/collection/1703815Calculus 2 👉 patreon.com/collection/1716951-------------------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
A Hard Calculus 3 Double Integral! (how to change the order and solve it!) #CalculusTricks bprp calc basics 2025-12-09 | This double integral is a nightmare! The integral of cos(x/(y+1)) is impossible to integrate with respect to y but we will use the most important trick in Calculus 3: Changing the Order of Integration! We will graph the region, then switch the order of dydx, work out the inner integral, then use integration by parts (DI method) to finish this hard double integral!#Calculus3 #DoubleIntegrals #calculustricks -----------------------------------------------------------------------Want more practice? Get my calculus practice quizzes on Patreon! Calculus 1 👉 patreon.com/collection/1703815Calculus 2 👉 patreon.com/collection/1716951-----------------------------------------------------------------------#calculus #bprpcalculus #apcalculus #mathtutorials #math
Is the derivative of x*abs(x) continuous? f(x)=x*abs(x), f(0)=? Reddit r/calculus bprp calc basics 2025-11-08 | We will examine the derivative of the function f(x)=x*abs(x) at x=0. We know the derivative of abs(x) is NOT defined at x=0, so shouldn't x*abs(x) have an undefined derivative at 0, too? We will use the definition of the derivative to find out! This question is from Reddit r/calculusreddit.com/r/calculus/s/RQfjA5bY3Z-----------------------------------------------------------------------Want more practice? Get my calculus practice quizzes on Patreon! Calculus 1 👉 patreon.com/collection/1703815Calculus 2 👉 patreon.com/collection/1716951-----------------------------------------------------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
I cannot for the life of me figure out why its -1 💔, AP calc limit question, Reddit r/calculus bprp calc basics 2025-10-15 | Learn how to solve this AP-Calculus-style limit question. We are given a graph, and we have to find the limit of a composite function. It's tricky here because the graph is NOT continuous. This question is from Reddit r/calculus reddit.com/r/calculus/s/onvLAXRxRC-----------------------------------------------------------------------Want more practice? Get my calculus practice quizzes on Patreon! Calculus 1 👉 patreon.com/collection/1703815Calculus 2 👉 patreon.com/collection/1716951-----------------------------------------------------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
Do this to master limits with infinity! bprp calc basics 2025-10-09 | Here's my calculus practice quiz on limits with infinities. You can get the file to practice before watching the video here: patreon.com/posts/138572574Get the cat & indeterminate forms shirt here: https://a.co/d/31I0dhk-----------------------------------------------------------------------Want more practice? Get my calculus practice quizzes on Patreon! Calculus 1 👉 patreon.com/collection/1703815Calculus 2 👉 patreon.com/collection/1716951-----------------------------------------------------------------------#calculus #bprpcalculus #apcalculus #tutorial
This is perhaps the biggest integral disaster! bprp calc basics 2025-10-06 | Don't use the reverse power rule for every integral! Understand "integral-ready forms" youtu.be/UkOnnXvTADM?si=3a1XlMfcL2TuIeKZ-----------------------------------------------------------------------Want more practice? Get my calculus 1 practice quizzes on Patreon! 👉 patreon.com/collection/1703815-----------------------------------------------------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
Teacher, can you do the integral of sqrt(x^2+1)/x? bprp calc basics 2025-10-03 | Yes : )Get your +C integrals for you hoodie: 👉 https://a.co/d/a4KGMZw-----------------------------------------------------------------------Want more practice? Get my calculus practice quizzes on Patreon! Calculus 1 👉 patreon.com/collection/1703815Calculus 2 👉 patreon.com/collection/1716951-----------------------------------------------------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
Be careful! Evaluating a limit with a complex fraction! My old calculus 1 exam bprp calc basics 2025-10-01 | Learn how to evaluate the limit of (2/(3x+5)-1/4)/(x-1) as x goes to 1, and be sure to avoid this common mistake. Subscribe to @bprpcalcbasics for more calculus tutorials. -----------------------------------------------------------------------Want more practice? Get my calculus 1 practice quizzes on Patreon! 👉 patreon.com/collection/1703815-----------------------------------------------------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
Do this to master implicit differentiation! bprp calc basics 2025-09-30 | Implicit differentiation often gives students trouble, but this calculus tutorial will help you master it by focusing on the first step! We’ll go through clear, step-by-step examples so you can see how to apply implicit differentiation correctly! This is from my Patreon. Get my calculus practice quizzes & answers here: patreon.com/posts/138572574-----------------------------------------------------------------------Want more practice? Get my calculus practice quizzes on Patreon! Calculus 1 👉 patreon.com/collection/1703815Calculus 2 👉 patreon.com/collection/1716951-----------------------------------------------------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
POV: you walk into an interview and they hit you with “which number is bigger?” 3.14^pi vs pi^3.14 bprp calc basics 2025-09-24 | We will discuss how to compare 3.14^pi vs pi^3.14 without using a calculator (but with calculus)Get my calculus practice quizzes and exams: www.patreon.com/blackpenredpene^pi vs pi^e youtu.be/SPHD7zmLVa8?si=NIFOyIqpems5lTEvSource: Reddit r/theydidthemathreddit.com/r/theydidthemath/s/KTyivUHf6n
Why does sin(1/x) automatically go to zero as x goes to infinity? Reddit r/APcalculus bprp calc basics 2025-09-20 | Learn how to evaluate the limit of sin(1/x) as x goes to infinity. Besides that, I will also show you two more similar limits: limit of sin(x)/x as x goes to inf & limit of x*sin(1/x) as x goes inf. Subscribe to @bprpcalcbasics for more calculus tutorials. This question is from Reddit r/APcalculus: reddit.com/r/apcalculus/comments/1naxde3/why_does_sin1x_automatically_go_to_zero-----------------------------------------------------------------------Want more practice? Get my calculus 1 practice quizzes on Patreon! 👉 patreon.com/collection/1703815-----------------------------------------------------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
Remember these integrals for calculus 2 bprp calc basics 2025-09-18 | These are all the integrals that you have to remember for your Calculus 2 class. Get the blank integral table here (free for everyone): patreon.com/posts/138573382All calculus derivatives: youtu.be/Zj10EnQwKrM?si=u2hBKgTV0fmqi9Zc-----------------------------------------------------------------------Want more practice? Get my calculus practice quizzes on Patreon! Calculus 1 👉 patreon.com/collection/1703815Calculus 2 👉 patreon.com/collection/1716951-----------------------------------------------------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
Do this to master trig limits! bprp calc basics 2025-09-16 | These are 5 limits involving trig that you have to know for your calculus 1 class. Do not use L'Hopital's Rule. -----------------------------------------------------------------------Want more practice? Get my calculus 1 practice quizzes on Patreon! 👉 patreon.com/collection/1703815-----------------------------------------------------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
How to use the intermediate value theorem bprp calc basics 2025-09-15 | Which of the following interval must contain a solution to the cubic equation x^3-5x-7=0? -----------------------------Get my calculus practice exams on Patreon: 👉 patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store 👉 amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
I cant get the integral of this problem! Arc length with integration, Reddit r/calculus bprp calc basics 2025-09-14 | Learn how to use an integral to compute the arc length of a function. This is problem is actually the same as "using an integral to find the circumference of a semi-circle". This question is from Reddit r/calculus reddit.com/r/calculus/s/FXOuwOFcCZ-----------------------------------------------------------------------Get my calculus practice quizzes on Patreon👉 patreon.com/collection/1703815-----------------------------------------------------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
Can you get the correct 1? Use the limit of sin(x)/x approaching 1 bprp calc basics 2025-09-13 | Here's the solution to this limit question that I posted on my Instagram. This is actually from of my old exams that I gave to my students. Now you can get them as practice exams on my Patreon: 👉 patreon.com/collection/1703815-----------------------------------------------------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
I got you! How to verify x=3 is a local min or a local max bprp calc basics 2025-09-12 | Answering a question from a viewer. We have the function f(x)=-1/x^2+2/x^3, and we are going to see how to determine if x=3 gives a local minimum or a local maximum of the function. The key here is to use the first-derivative test and a sign chart. -----------------------------------------------------------------------Want more practice? Try my calculus practice quizzes on Patreon! 👉 patreon.com/collection/1703815-----------------------------------------------------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
Its NOT what you see is what you get! They gave you the derivative graph, NOT the original! bprp calc basics 2025-09-10 | Given the graph of the derivative of a function, find the inflection point of the original function. Want more practice? This is an actual question from one of my old calculus exams. Grab it now on my Patreon 👉 patreon.com/posts/my-calc-1-exams-138097119-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
Can you solve my calculus 2 exam problem? Test for Divergence for infinite series! bprp calc basics 2025-09-08 | We are going to see which of the given series diverges because of the TEST FOR DIVERGENCE! This is one of my old calculus 2 exam problems. Now you can get my exam to practice on my Patreon: 👉 patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store 👉 amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
