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int 1^(oo) (e^(x+1)+e^(3-x))^(-1) dx =...

`int _1^(oo) (e^(x+1)+e^(3-x))^(-1) dx =`

A

`pi/4e^(2)`

B

`1/e^(2) tan^(-1) (1/e)-pi/2`

C

`1/e^(2) (pi/2tan^(-1) (1/e)`

D

`pi/2e^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
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