The value of the integral I=int(dx)/(sqr...

The value of the integral `I=int(dx)/(sqrt(1+sinx)), AA x in [0, (pi)/(2)]` is equal to `kln(tan((x)/4+(pi)/(8)))+c`, then the value of `ksqrt2` is equal to (where, c is the constant of integration)

A

`sqrt2`

B

`(1)/(2)`

C

`1`

D

`2sqrt2`

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The correct Answer is:

C

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