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An ingenious evaluation (Posted on 2005-06-26) Difficulty: 3 of 5
The defined integral below is, in fact, very hard to evaluate by common means.

I = ∫oπ/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?

See The Solution Submitted by pcbouhid    
Rating: 2.0000 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Question TO : LEVIK (1) | Comment 6 of 7 |

Edited on April 2, 2008, 6:07 am
  Posted by K Sengupta on 2005-11-12 02:39:39

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