1) Integral of the inverse of sinx from 0 to 1/2
2) Integral of (sinx)^3 * (cosx)^2
1) Is there an identity I should be looking for when dealing with inverse sine?
2) Should I be using integration by parts in this?
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1) Integration by parts
Originally Posted by red_dog 1) Integration by parts
Put should it be just (1-cos^2x) or that over 2? In my textbook it reads:
sin^2x = (1-cos^2x) / 2
Originally Posted by red_dog thanks.
for the first one, what do I set dV equal to if i have u = sin x ?
Originally Posted by xfyz 1) Integral of the inverse of sinx from 0 to 1/2 (integration limits omitted).
Apply integration by parts, so &
I assume you know integration by parts formula, this yields
For the remaining integral, let's set
Then we happily can say that , yielding red_dog's answer
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