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int (2x+2)/(sqrt(x^(2)-4x-5))dx=...

`int (2x+2)/(sqrt(x^(2)-4x-5))dx=`

A

`sqrt(x^(2)-4x-5)+log|x+sqrt(x^(2)-4x-5)|+c`

B

`log|sqrt(x^(2)-4x-5)|+sqrt(x^(2)-4x-5)+c`

C

`sqrt(x^(2)-4x-5)+6log|(x-2)+sqrt(x^(2)-4x-5)+c`

D

`2sqrt(x^(2)-4x-5)+6log|(x-2)+sqrt(x^(2)-4x-5)|+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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