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Homework Help: Integration help

  1. Sep 29, 2010 #1
    1. The problem statement, all variables and given/known data
    Part of a question has brought up this problem:

    find the integral of cos(n arcsin x) * xm dx
    where n and m are positive integers > 1.

    2. Relevant equations
    Not sure- if the n wasn't there I would simplify it to (1-x2)1/2 * xm 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.

    3. 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.
  2. jcsd
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