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int(1)/(sin x + cos x +sqrt(2))dx equals...

`int(1)/(sin x + cos x +sqrt(2))dx` equals

A

`-(1)/( sqrt(2)) tan ((x)/(2) + (pi)/(8))+c`

B

`(1)/(sqrt(2))tan ((x )/(2) + (pi)/(8)) +c`

C

`(1)/(sqrt(2) )cot ((x)/(2) +(pi)/(8))+C`

D

`-(1)/(sqrt(2)) cot ((x)/(2) + ( pi )/(8 ))+C`

Text Solution

Verified by Experts

The correct Answer is:
D
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