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int ( dx)/(cos x - sin x ) is equal to :...

`int ( dx)/(cos x - sin x )` is equal to :

A

`(1)/(sqrt2) log | tan ((x)/(2) + (3pi)/(8))| + c`

B

`(1)/(sqrt2) log |cot ((x)/(2)) | + c`

C

`(1)/(sqrt2) log | tan ((x)/(2) - (3pi)/(8)) | + c`

D

`(1)/(sqrt2) log | tan ((x)/(2) - (pi)/(8)) | + c`

Text Solution

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The correct Answer is:
A
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