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int(dx)/(a^2e^x+b^2e^(-x))=...

`int(dx)/(a^2e^x+b^2e^(-x))=`

A

`(1)/(a)tan^(-1)((ae^x)/(b))+c`

B

`(1)/(b)tan^(-1)((ae^x)/(b))+c`

C

`(1)/(ab)tan^(-1)((be^x)/(a))+c`

D

`(1)/(ab)tan^(-1)((ae^x)/(b))+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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