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

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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