life changing integration by parts trick @drpeyam

Uploaded December 2021 | Updated September 2026, 1 week ago

Let’s learn a life-changing integration by parts trick. Once you learn this integration technique for you calculus 2 class, many integrals will be much easier. The trick here is to choose a clever antiderivative with a smart constant.

0:00 Intro
0:15 Integral x arctan x
2:20 Integral ln x+2
3:30 Integral arctan square root x+1

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$Impossible fraction question?$

differential equations model for savings

$can you solve this integral equation? can you solve this integral equation? We use Laplace transforms to solve a really cool integral equation, which is an integral analog of differential equations. This is used a lot in applications, especially with the Lotka-Volterra equations that model population dynamics, like rabbits vs foxes. We also use partial fractions and inverse Laplace transforms. Enjoy this calculus and differential equations extravaganza! Subscribe to my channel: https://youtube.com/drpeyam Instagram: https://www.instagram.com/peyamstagram/ Teespring merch: https://dr-peyam.creator-spring.com/?$