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: Inverse trig substitution integral

  1. Feb 28, 2010 #1

    I need to integrate the following:

    [tex]\int \frac{x^2}{\sqrt{9-x^2}}[/tex]

    So let [tex]x = 3sin\theta[/tex]
    [tex]\frac{dx}{d\theta} = 3cos\theta[/tex]

    So i now have the integral of [tex]\frac{9sin^2\theta \cdot 3cos\theta}{3cos\theta}[/tex]

    How do i go about the integration from here? parts?
  2. jcsd
  3. Feb 28, 2010 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Education Advisor

    Try simplifying the integrand first.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook