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int (dx)/(1 + tan x) is equal to a)(1)/(...

`int (dx)/(1 + tan x)` is equal to a)`(1)/(2) + (1)/(2)log|cos x + sin x|+C` b)`(x)/(2) + (1)/(2) log|cos x - sin x| +C` c)`(1)/(2) + (1)/(2) log|cos x - sin x| + C` d)`(x)/(2) + (1)/(2) log|cos x + sin x| + C`

A

`(1)/(2) + (1)/(2)log|cos x + sin x|+C`

B

`(x)/(2) + (1)/(2) log|cos x - sin x| +C`

C

`(1)/(2) + (1)/(2) log|cos x - sin x| + C`

D

`(x)/(2) + (1)/(2) log|cos x + sin x| + C`

Text Solution

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The correct Answer is:
D
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