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Let f(x)=int (x^2)/((1+x^2)(1+sqrt(1+x^2...

Let `f(x)=int (x^2)/((1+x^2)(1+sqrt(1+x^2)))dx and f(0)=0`,Then f(1) is :

A

`log(1+sqrt(2))`

B

`log(1+sqrt(2))+(pi)/(4)`

C

`log(1+sqrt(2))-(pi)/(4)`

D

None of these.

Text Solution

Verified by Experts

The correct Answer is:
C
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