Evaluate:
_{5} ∫(1+ 5^{g(y)})^{1} dy ^{0}
See The Solution  Submitted by K Sengupta 
Rating: 3.0000 (2 votes) 
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I note that g(y) is symmetric around the line y=2.5
Let x=y2.5; dx=dy
Limits on integral change to:
Let x=y2.5; 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 20071124 15:35:22 