int e^(-x) cosec x(1+ cot x) dx is equal...

`int e^(-x) cosec x(1+ cot x) dx` is equal to a)`e^(-x) cosec x + C` b)`-e^(-x) cosec x + C` c)`- e^(-x) ( cosec x + cot x ) + C ` d)`- e^(-x) ( cosec x - tan x ) + C`

A

`e^(-x) cosec x + C`

B

`-e^(-x) cosec x + C`

C

`- e^(-x) ( cosec x + cot x ) + C `

D

`- e^(-x) ( cosec x - tan x ) + C`

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The correct Answer is:

B

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