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int (e^(2x))/(sqrt(e^(x)+1))dx=...

`int (e^(2x))/(sqrt(e^(x)+1))dx=`

A

`(4)/(7)(e^(x)-1)^(7//4)-(4)/(3)(e^(x)-1)^(3//4)+c`

B

`(4)/(7)(e^(x)+1)^(7//4)+(4)/(3)(e^(x)+1)^(3//4)+c`

C

`(4)/(7)(e^(x)+1)^(7//4)-(2)/(3)(e^(x)+1)^(3//4)+c`

D

`(4)/(7)(e^(x)+1)^(7//4)-(4)/(3)(e^(x)+1)^(3//4)+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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