The value of int(e^(sqrtx))/(sqrtx(1+e^(...

The value of `int(e^(sqrtx))/(sqrtx(1+e^(2sqrtx)))dx` is equal to (where, C is the constant of integration)

A

`tan^(-1)(2e^(sqrtx))+C`

B

`ln((1+e^(x))/(1-e^(sqrtx)))+C`

C

`2tan^(-1)(e^(sqrtx))+C`

D

`(tan^(-1)x)e^(sqrtx)+C`

Verified by Experts

The correct Answer is:

C

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