All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math > Calculus
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 (2) Comment 7 of 7 |

Edited on March 25, 2007, 11:17 am
  Posted by K Sengupta on 2005-11-12 02:44:55

Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (7)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information