$\displaystyle \int \frac {1}{x^2sqrt(1-x^2)} dx$

$\displaystyle x = sin t$

$\displaystyle dx = cos t dt$

$\displaystyle = \int \frac{cos t}{sin^2tsqrt(1-sin^2t)}$

$\displaystyle = \int \frac {cos t}{sin^2tsqrt(cos^2t)}$

$\displaystyle = \int \frac {1}{sin^2t}$

That's as far as I got ... how can I proceed?

PS; I apologize for the untidiness of the square roots. How do I make the radical appear?