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int(dx)/((1+sinx)^((1)/(2)))=...+c...


`int(dx)/((1+sinx)^((1)/(2)))=...+c`

A

`sqrt(2)log|tan((3pi)/(8)-(x)/(4))|`

B

`sqrt(2)log|"cosec"((pi)/(8)+(x)/(2))-cot((pi)/(8)+(x)/(2))|`

C

`sqrt(2)log|tan((pi)/(8)+(x)/(4))|`

D

`sqrt(2)log|sec((pi)/(2)+(x)/(4))-tan((pi)/(2)+(x)/(4))|`

Text Solution

Verified by Experts

The correct Answer is:
C
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