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int (e^(3x) + e^(x))/(e^(4x) -e^(2x)+1) ...

`int (e^(3x) + e^(x))/(e^(4x) -e^(2x)+1) ` dx =

A

`(1)/(4) log (e^(4x)- e^(2x) + 1) + C `

B

` tan^(-1) (e^(x) - e^(-x)) + C`

C

`tan^(-1) (e^(x) - e^(-x))+ C`

D

`tan^(-1) (e^(-x) - e^(x))+ C`

Text Solution

Verified by Experts

The correct Answer is:
B
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