Evaluate:
5
∫(1+ 5g(y))-1 dy
0
| See The Solution | Submitted by K Sengupta |
| Rating: 3.0000 (2 votes) |
A different switch that also works
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 | Comment 2 of 8 |  |
I note that g(y) is symmetric around the line y=2.5
Let x=y-2.5; dx=dy
Limits on integral change to:
Let x=y-2.5; dx=dy
Limits on integral change to:
∫(from -2.5 to +2.5) (1+5^g(x))^ -1 dx
which by symmetry is
∫(from 0 to 2.5) {(1+5^(+g(x)))^(-1) + (1+5^(-g(x)))^(-1) } dx
which equals
∫(from 0 to 2.5) 1 dx = 2.5
| Posted by Larry on 2007-11-24 15:35:22 |
