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Evaluate: int(x^3+x^2+2x+1)/(x^2-x+1)\ d...

Evaluate: `int(x^3+x^2+2x+1)/(x^2-x+1)\ dx`

A

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

B

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

C

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

D

`(x^2)/(2)+2x+(1)/(2)log|x^2-x+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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