The defined integral below is, in fact, very hard to evaluate by common means.

I = ∫_o^π/2 √sin(x)/(√sin(x)+√cos(x)) dx

However, if you make the substitution x=(π/2-y), it becomes surprisingly easy to solve, by applying a basic concept of "defined integrals".

With this hint, can you, now, evaluate its value?

Edited on April 2, 2008, 6:07 am

Posted by K Sengupta on 2005-11-12 02:39:39