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Evaluate: int(cosx)/(cos3x)dx...

Evaluate: `int(cosx)/(cos3x)dx`

A

`(1)/(sqrt(3))log|(1-sqrt(3)tanx)/(1+sqrt(3)tanx)|+c`

B

`(1)/(sqrt(3))log|(1+sqrt(3)tanx)/(1-sqrt(3)tanx)|+c`

C

`(1)/(2sqrt(3))log|(1-sqrt(3)tanx)/(1+sqrt(3)tanx)|+c`

D

`(1)/(2sqrt(3))log|(1+sqrt(3)tanx)/(1-sqrt(3)tanx)|+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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