Wrath of Math | Use Pythagorean Identities to Evaluate Basic Integrals | Calculus 1 Exercises @WrathofMath | Uploaded 2 months ago | Updated 14 hours ago
We go over how to evaluate several basic trigonometric integrals using the pythagorean identities. We know sin^2x+cos^x=1, and from this we have 1+cot^2x=csc^2x and tan^2x+1=sec^2x and we will use these in four integral examples to simplify a trigonometric expression to one we know how to integrate. #apcalculus #calculus1
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0:00 Intro
0:45 (1-sin^2x)/cosx
1:16 (sin^x+cos^2x)/(1-cos^2x)
2:15 (tanx+cotx)/cotx
3:31 (sinx+cosxcotx)/sinx
4:29 Conclusion
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Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
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We go over how to evaluate several basic trigonometric integrals using the pythagorean identities. We know sin^2x+cos^x=1, and from this we have 1+cot^2x=csc^2x and tan^2x+1=sec^2x and we will use these in four integral examples to simplify a trigonometric expression to one we know how to integrate. #apcalculus #calculus1
Join Wrath of Math to get exclusive videos, music, and more:
youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join
Calculus 1 Exercises playlist: youtube.com/playlist?list=PLztBpqftvzxUEqGGgvL3EuIQUNcAdmVhx
Calculus 1 playlist: youtube.com/playlist?list=PLztBpqftvzxWVDpl8oaz_Co6CW50KtGJy
0:00 Intro
0:45 (1-sin^2x)/cosx
1:16 (sin^x+cos^2x)/(1-cos^2x)
2:15 (tanx+cotx)/cotx
3:31 (sinx+cosxcotx)/sinx
4:29 Conclusion
◉Textbooks I Like◉
Graph Theory: amzn.to/3JHQtZj
Real Analysis: amzn.to/3CMdgjI
Abstract Algebra: amzn.to/3IjoZaO
Linear Algebra: amzn.to/43xAWEz
Calculus: amzn.to/3PieD1M
Proofs and Set Theory: amzn.to/367VBXP (available for free online)
Statistics: amzn.to/3tsaEER
Discrete Math: amzn.to/3qfhoUn
Number Theory: amzn.to/3JqpOQd
★DONATE★
◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons
◆ Donate on PayPal: paypal.me/wrathofmath
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
Follow Wrath of Math on...
● Instagram: instagram.com/wrathofmathedu
● Facebook: facebook.com/WrathofMath
● Twitter: twitter.com/wrathofmathedu
My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
