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int (e^(x))/(e^(2x)+2e^(x)+5)dx=...

`int (e^(x))/(e^(2x)+2e^(x)+5)dx=`

A

`(1)/(2) Tan^(-1)((e^(x)-1)/(2))+c`

B

`(1)/(2) Tan^(-1)((e^(x)+1)/(2))+c`

C

`(1)/(2) Tan h^(-1)((e^(x)+1)/(2))+c`

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
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