int(dx)/(cosx+sqrt(3)sinx) equals: (1) ...

`int(dx)/(cosx+sqrt(3)sinx)` equals: (1) `1/2logtan(x/2+pi/(12))+c` (2) `1/2logtan(x/2-pi/(12))+c` (3) `logtan(x/2+pi/(12))+c` (4) `logtan(x/2-pi/(12))+c`

A

`(1)/(2)log tan((x)/(2)+(pi)/(12))+C`

B

`(1)/(2)logtan((x)/(2)-(pi)/(12))+C`

C

`logtan((x)/(2)+(pi)/(12))+C`

D

`logtan((x)/(2)-(pi)/(12))+C`

Text Solution

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The correct Answer is:

A

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