# Integrate x^2/Sqrt[1- x^2]

• March 14th 2011, 11:17 AM
jimmartin1
Integrate x^2/Sqrt[1- x^2]
Hey, im a newbie to the site and was wondering if anyone could help with the solution to the problem below... thanks in advance!

http://i307.photobucket.com/albums/n.../question1.png (using the substitution x = sin t)
• March 14th 2011, 11:24 AM
e^(i*pi)
$\dfrac{dx}{dt} = \cos(t) \implies dx = \cos(t)\, dt$

$\displaystyle \int ^{\pi /2}_{0} \frac{\sin^2t}{\sqrt{1-\sin^2 t}} \cdot \cos(t)\, dt$

Simplify and use an identity to make the numerator easier to deal with
• March 14th 2011, 03:25 PM
jimmartin1
Thanks, e^(i*pi) for the reply! im having a lot of trouble at the minunte catching onto the calculus part of the course. Help appreciated!