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int(sinx)/(sqrt(1+sinx))dx...

`int(sinx)/(sqrt(1+sinx))dx`

A

`2sqrt(1-sinx)-sqrt2ln|tan((x)/(4)+(pi)/(8))|+c`

B

`2sqrt(1+sinx)-sqrt3ln|tan((x)/(4)+(pi)/(8))|+c`

C

`2sqrt(2+sin^(2)x)-sqrt3ln|tan((x)/(36)+(pi)/(8))|+c`

D

`2sqrt(1+sinx)-sqrt2ln|tan((x)/(8)+(pi)/(4))|+c`

Text Solution

Verified by Experts

The correct Answer is:
A
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