Evaluate:
5 ∫(1+ 5g(y))-1 dy 0
See The Solution | Submitted by K Sengupta |
Rating: 3.0000 (2 votes) |
Switching integral! |
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Hi!
Let make a change in the integral like this t=5-y.
So for y=0 -> t=5 and for y=5 -> t=0
dt=-dy and because g(5-y) = - g(y) the new integral is :
5 5
ç5g(y)(1+ 5g(y))-1 dy = 5-ç(1+ 5g(y))-1 dy
0 0
So I = 5-I => I=5/2
Edited on November 25, 2007, 8:02 am
Edited on November 25, 2007, 8:03 am
Posted by Chesca Ciprian on 2007-11-24 13:29:38 |