integration problem
 

Can anyone help me with this

integral of sqrt(1+sin^2 x)

it's been bothering me for the past few days, i've tried using substitution but with little success, and i don't think partial integration does the trick

This integral has no closed form solution. Look up the elliptic integrals.

WolframAlpha solution:


[URL]http://www73.wolframalpha.com/input/?i=integral+sqrt%281%2Bsin%5E2+x%29[/URL]