Integral of the Day 4.19.24 SPICY SPICY Trig Integral w/ Substitution t=tan(x/2) Math with Prof V

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Hello to all my viewers! As promised, here's another integral solved using the substitution of t=tan(x/2). How did you like it?

Where did this substitution come from? Check out my video explaining the origin of this technique and how to apply it:

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Professor V

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Комментарии
Автор

Dear Prof V thank you so much for the awesome video on integral of the day. I need to check out the video you did on tan sub! on my side I let u = 2 + cosx then du = -sinxdx and cosx = u - 2 . then u(0) = 3 and u(pi/2) = 2 which make the integral to change the order of end point and get a negative so it was 2 times integral of (u-2)/u and I broke it up and got 2 - 4ln(3/2) as finally I think something went wrong on my workings because it look the same just the negative sign but I will do it again thanks a lot for the video

siyabongashoba
Автор

Hey, here are some other concept ideas to create new videos beta and gamma function, lumbart w function

luygvkz
Автор

Since sin2x=2sinxcosx, I let u=cosx, and the integrand simplified to 2u/(2+u), which eventually led to the same answer. Weierstrass subs are always fun to watch though, and this was a nicely detailed solution!

spock