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int (e^(x))/(e^(x//2)-1)dx=...

`int (e^(x))/(e^(x//2)-1)dx=`

A

`[ e^(x//2) - x- log | e^(x//2) + 1|] ` + C

B

`2[ e^(x//2) + 1 - log| e^(x//2) + 1|] + C`

C

`- (1)/(2) log^(2)` (cosecx - cot x ) + C

D

`(1)/(2) ` log (cosecx - cot x ) + C

Text Solution

Verified by Experts

The correct Answer is:
C
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