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Ifintxlog(1+1/x)dx=f(x)log(x+1)+g(x)x^2+...

`Ifintxlog(1+1/x)dx=f(x)log(x+1)+g(x)x^2+A x+C ,` then `f(x)=1/2x^2` (b) `g(x)=logx` `A=1` (d) none of these

A

`L=1`

B

`f(x)=x^(2)/2`

C

`g(x)=logx`

D

`f(x)=(x^(2)-1)/2`

Text Solution

Verified by Experts

The correct Answer is:
D
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