Evaluate
$\displaystyle \int_0^{\frac{\pi }
{2}} {\frac{{x^2 }}
{{x^2 + \ln ^2 \left( {2\cos x} \right)}}dx} $
Then please post to the challenges forum (and send a solution by PM to MrFantastic and captainblack)
CB
Mr F edit: Link added: http://www.mathhelpforum.com/math-he...enge-problems/. And be sure to follow the rules of this subforum that are clearly set out in the stickies.
Well for one thing we will delete your post otherwise, only trusted posters are allowed to post into the challenges forum, everyone else must prove that this is a challenge and not either homework or something they have concocted without a solution.
Finally because we say so.
CB