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int(-1)^(1)(1)/(a^(2)e^(x)+b^(2)e^(-x))d...

`int_(-1)^(1)(1)/(a^(2)e^(x)+b^(2)e^(-x))dx=`

A

`(1)/(ab)log(a^(2)e^(2)+b^(2))`

B

`(1)/(ab)log(a^(2)+b^(2)e^(2))`

C

`(1)/(ab)[tan^(-1)((ae )/(b))-tan^(-1)((a)/(be))]`

D

`(1)/(ab)tan^(-1)[(ab(e^(2)-1))/(e^(2)+1)]`

Text Solution

Verified by Experts

The correct Answer is:
C
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