General Question

AMT's avatar

How do I integrate (sinx)^4 with limits 0 to pi?

Asked by AMT (4points) July 13th, 2016

is tried substitution.
let t=sin^4x
but the limits turn out to be 0 to 0 which is wrong
can you please clarify this doubt

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2 Answers

Mariah's avatar

This should help you: https://en.wikipedia.org/wiki/List_of_trigonometric_identities#Power-reduction_formula

If you still can’t figure it out on your own with this hint, I should be able to help you further, but I’m at work right now.

Mariah (25883points)“Great Answer” (1points) Flag as…
dxs's avatar

It’s all about the identities that @Mariah linked. You may have to manipulate the sin^4(x) quite a lot before you get it into a form that looks integrable.

dxs (15160points)“Great Answer” (0points) Flag as…

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