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If intsqrt(2+tan^(2)x)dx-ln tanx+sqrt(2+...

If `intsqrt(2+tan^(2)x)dx-ln tanx+sqrt(2+tan^(2)x)+f(x)+c`, then `f(x)=`

A

`sin^(-1)((sinx)/(sqrt2))`

B

`cos^(-1)((sinx)/(sqrt2))`

C

`cos^(-1)((cosx)/(sqrt2))`

D

`sin^(-1)((cosx)/(sqrt2))`

Text Solution

Verified by Experts

The correct Answer is:
A
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