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Integrate : int (sqrt( cos 2x))/(sin x...

Integrate :
`int (sqrt( cos 2x))/(sin x)dx`

A

`log|cot x+ sqrt(cot^(2)x-1)|+sqrt(2)log|cos x +sqrt(cos^(2)x-1//2)|+C`

B

`- log|cot x+ sqrt(cot^(2)x-1)|+sqrt(2)log|cos x +sqrt(cos^(2)x-1//2)|+C`

C

`log|cot x+sqrt(cot^(2)x-1)|+2log|cos x + sqrt(cos^(2)x-1//2)|+C`

D

`- log|cot x+sqrt(cot^(2)x-1)|+2log|cos x + sqrt(cos^(2)x-1//2)|+C`

Text Solution

Verified by Experts

The correct Answer is:
B
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