Evaluate: intsqrt(tanx)dx...

Evaluate: `intsqrt(tanx)`dx

A

`(1)/(sqrt(2))tan^(-1)((tanx-1)/(sqrt(2tanx)))-(1)/(2sqrt(2))log|(tanx-sqrt(2tanx)+1)/(tanx+sqrt(2tanx)+1)|+c`

B

`(1)/(sqrt(2))tan^(-1)((tanx-1)/(sqrt(2tanx)))+(1)/(2sqrt(2))log|(tanx-sqrt(2tanx)+1)/(tanx+sqrt(2tanx)+1)|+c`

C

`(1)/(sqrt(2))tan^(-1)((tanx-1)/(sqrt(2tanx)))+(1)/(sqrt(2))log|(tanx-sqrt(2tanx)+1)/(tanx+sqrt(2tanx)+1)|+c`

D

`(1)/(sqrt(2))tan^(-1)((tanx-1)/(sqrt(2tanx)))+(1)/(sqrt(2))log|(tanx-sqrt(2tanx)+1)/(tanx+sqrt(2tanx)+1)|+c`

Text Solution

Verified by Experts

The correct Answer is:

B

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