If f(x)=int(1)^(x)(tan^(-1)(t))/(t)dt,AA...

If `f(x)=int_(1)^(x)(tan^(-1)(t))/(t)dt,AA x in R^(+)` then the value of `f(e^(2))-f((1)/(e^(2)))` is a)0 b)`pi/2` c)`pi`d)`2pi`

A

0

B

`pi/2`

C

`pi`

D

`2pi`

Verified by Experts

The correct Answer is:

C

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