perplexus.info :: Calculus : Exponential And Natural

Exponential And Natural (Posted on 2008-01-08)

Determine the value of a real constant c, given that:

     _y
   ∫(ln p)*(1+p)^-1 dp = g(y)
    ¹

and, g(e^c) + 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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question!

Comment 3 of 3 |

(In reply to full solution by Daniel)

Hi Daniel!

You say that g(e^x)+g(e^-x)=x^3/12 but this relation is availble not for all x.This relation is availble only for some constant c so i doen't know that we can differentiate this relation!!!???

Posted by Chesca Ciprian on 2008-01-10 16:31:36

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