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

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

A

`(1)/(sqrt(2))log|tan((x)/(2)-(3pi)/(8))|+C`

B

`(1)/(sqrt(2))log|cot""(x)/(2)|+C`

C

`(1)/(sqrt(2))log|tan((x)/(2)-(pi)/(8))|+C`

D

`(1)/(sqrt(2))log|tan((x)/(2)+(3pi)/(8))|+C`

Text Solution

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The correct Answer is:
D
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