a magical way to solve integrals?

calculus is like magic! Visit 👉 https://brilliant.org/blackpenredpen/ to learn more integration techniques! (20% off with this sponsored link)

I noticed that sec(sin^-1(x) is actually the derivative of inverse sin(x) when I was teaching my precalculus class on Zoom! I was very amazed by this calculus coincident! So I investigated more on that and discovered how I could make more of this kind of "integral magic" or integral tricks by solving some simple separable differential equations. You will see two examples in the video and try to come up with similar "integral magic" on your own! This is what makes teaching fun! The more math I teach, the more ideas I have and the more mathematical connections I see.

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0:00 intro
0:37 integrate the trig integral of sec(sin^-1(x))
2:01 creating your own integral magic by solving a separable differential equation
4:05 example 1
5:43 example 2
7:52 check out Brilliant

If you need more help with your class, check out my just calculus tutorial channel: https://www.youtube.com/justcalculus

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