- #1

- 98

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## Homework Statement

Part of a question has brought up this problem:

find the integral of cos(n arcsin x) * x

^{m}dx

where n and m are positive integers > 1.

## Homework Equations

Not sure- if the n wasn't there I would simplify it to (1-x

^{2})

^{1/2}* x

^{m}which would make it easier but as it is I'm not sure how to proceed.

Using a maths programme I have it seems to be able to integrate it only if n is even.. but I have no idea why this is or how to get to the answer.

## The Attempt at a Solution

Haven't got very far at all as you can see, sorry.

I already did a substitution from cos(u) * cos (nu) * (sin u)

^{m}du to the above where x = sin u.