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

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

A

`(1)/(2)log|x^2+2x+1|-(1)/(sqrt(3))tan^(-1)((2x+1)/(sqrt(3)))+c`

B

`(1)/(2)log|x^2+2x+1|+(1)/(sqrt(3))tan^(-1)((2x+1)/(sqrt(3)))+c`

C

`(1)/(2)log|x^2+2x+1|-(2)/(sqrt(3))tan^(-1)((2x+1)/(sqrt(3)))+c`

D

`(1)/(2)log|x^2+2x+1|+(2)/(sqrt(3))tan^(-1)((2x+1)/(sqrt(3)))+c`

Text Solution

Verified by Experts

The correct Answer is:
A
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