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Exponential And Natural (Posted on 2008-01-08) Difficulty: 3 of 5
Determine the value of a real constant c, given that:
     y
   (ln p)*(1+p)-1 dp = g(y)
    1
and, g(ec) + g(e-c) = c3/12

where ln x denotes the natural logarithm of x.

See The Solution Submitted by K Sengupta    
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not sure! | Comment 1 of 3

I start to calculate g(y)+g(1/y) .

For g(1/y) i switch the integral p=1/t and i find

g(y)+g(1/y) = (ln(y))^2/2.

For y=e^c i find c=0.

But i feel that i make something wrong in my calculus!!


  Posted by Chesca Ciprian on 2008-01-09 06:21:29
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