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

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

A

`(1)/(sqrt(2))Cosh^(-1)((3-x)/(sqrt(7)(x+1)))+c`

B

`-(1)/(sqrt(2))Cosh^(-1)((3-x)/(sqrt(7)(x+1)))+c`

C

`-(1)/(sqrt(2))Cosh^(-1)((3+x)/(sqrt(7)(x-1)))+c`

D

`-(1)/(sqrt(2))Cosh^(-1)((3-x)/(sqrt(7)(x-1)))+c`

Text Solution

Verified by Experts

The correct Answer is:
B
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