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Evaluate the integerals. int sqrt(e...

Evaluate the integerals.
`int sqrt(e ^(x) -4) dx on [log _(e) 4, oo].`

A

`Tan^(-1)((sqrt(e^(x)-4))/(2))+sqrt(e^(x)-4)+c`

B

`2sqrt(e^(x)-4)-4 Tan^(-1) ((sqrt(e^(x)-4))/(2))+c`

C

`2sqrt(e^(x)-4)-4 Cos^(-1) ((sqrt(e^(x)-4))/(2))+c`

D

`sqrt(e^(x)-4)-4 Tan^(-1) (sqrt(e^(x)-4))+c`

Text Solution

Verified by Experts

The correct Answer is:
B
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