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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+e)`

B

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

C

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

D

`sqrt(e^(x)-4) - 4tan^(-1) (e^(x)-4)+e`

Text Solution

Verified by Experts

The correct Answer is:
B
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