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int(1)/(cos2x+sin2x)dx=...

`int(1)/(cos2x+sin2x)dx=`

A

`(1)/(2sqrt2)log[(sqrt2-1+tanx)/(sqrt2+1-tanx)]+c`

B

`(1)/(2sqrt2)log[(sqrt2+1+tanx)/(sqrt2)]+c`

C

`(1)/(sqrt2)log[(sqrt2-1+tanx)/(sqrt2+1-tanx)]+c`

D

`(1)/(2sqrt2)tan^(-1)[(1-tanx)/(sqrt2)]+c`

Text Solution

Verified by Experts

The correct Answer is:
A
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