1. ## hard definite integral

$\displaystyle \int_{0}^{1}\frac{\sqrt{1-x^2}}{1-x^2\sin^2 x}dx$

2. ## Re: hard definite integral

This integral can't be found in terms of elementary functions. Use Numerical Integration.

3. ## Re: hard definite integral

Originally Posted by jacks
$\displaystyle \int_{0}^{1}\frac{\sqrt{1-x^2}}{1-x^2\sin^2 x}dx$
]Use web resources. There is no point in trying this by hand.