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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_(e)(1+sqrt(2))`

B

`log_(e)(1+sqrt(2))-pi/4`

C

`log_(e)(1+sqrt(2))+pi/4`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

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