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int (1)/(4e^x+9e^(-x))dx=.......

`int (1)/(4e^x+9e^(-x))dx=....`

A

`tan^(-1)((2e^(x))/(3))+c`

B

`(1)/(6)tan^(-1)((2e^(x))/(3))+c`

C

`log|4e^(2x)+9|+c`

D

`(1)/(3)tan^(-1)((2e^(x))/(3))+c`

Text Solution

Verified by Experts

The correct Answer is:
B
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