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If int (xtan^(-1)x)/sqrt(1+x^2) dx = sqr...

If `int (xtan^(-1)x)/sqrt(1+x^2) dx = sqrt(1+x^2)f(x)+Aln|x+sqrt(x^2+1)|+c` then

A

`f(x)=tan^(-1)x,A=-1`

B

`f(x)=tan^(-1)x,A=1`

C

`f(x)=2tan^(-1)x,A=-1`

D

`f(x)=2tan^(-1)x,A=1`

Text Solution

Verified by Experts

The correct Answer is:
A
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