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int(x^3)/(x^2+x+1)dx=...

`int(x^3)/(x^2+x+1)dx=`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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