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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) + x `

B

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

C

`2 sqrt(e^(x) -4) cot^(-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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