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Integration by parts [ x^3 * sqrt (1 - x^2)

  1. Mar 19, 2009 #1
    I have tried pretty much every method I can think of to solve this integral but I haven't managed to get much luck. I used a derivative value (U) of x^3 and managed to get a x^5 term inside the next part and there is no easy way to get a derivative for the square root of 1-x^2.

    I tried subbing in x=sinx but that didn't work either after using the pythagorean identity to get cosx after removing the square root. I worked it out got jibberish as an answer.

    I'd rather know how I could go about doing this rather than get an answer! Thanks. :)
     
  2. jcsd
  3. Mar 19, 2009 #2

    gabbagabbahey

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    Try by parts with [itex]u=x^2[/itex] and [itex]dv=x\sqrt{1-x^2}dx[/itex]....and post your work if you get stuck
     
  4. Mar 19, 2009 #3
    got it! Thank you very much.
     
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