1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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


    User Avatar
    Homework Helper
    Gold Member

    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.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook