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int ( x + 2)/( sqrt( x^(2) - 1)) dx i...

`int ( x + 2)/( sqrt( x^(2) - 1)) dx ` is

A

`sqrt(x^(2)-1)-2log|x+sqrt(x^(2)-1)|+c`

B

`sin^(-1)x-2log|x+sqrt(x^(2)-1)|+c`

C

`2log|x+sqrt(x^(2)-1)|-sin^(-1)x+c`

D

`sqrt(x^(2)-1)+2log|x+sqrt(x^(2)-1)|+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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