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

If `f(x)=int(x^(2)dx)/((1+x^(2))(1+sqrt(1+x^(2))))` and f(0) = 0 then f(1) =

A

`log (1+sqrt(2))`

B

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

C

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

D

`log(1+sqrt(2))+(pi)/(3)`

Text Solution

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The correct Answer is:
2
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