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

**jimmartin1** · March 14th 2011, 11:17 AM

Hey, im a newbie to the site and was wondering if anyone could help with the solution to the problem below... thanks in advance!

(using the substitution x = sin t)

**e^(i*pi)** · March 14th 2011, 11:24 AM

$\dfrac{dx}{dt} = \cos(t) \implies dx = \cos(t)\, dt$

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

Simplify and use an identity to make the numerator easier to deal with

**jimmartin1** · March 14th 2011, 03:25 PM

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!

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