The integral int (2x-3)/(x^2+x+1)^2 .dx ...

The integral `int (2x-3)/(x^2+x+1)^2 .dx` is equal to

A

a. `-16(2x+1)/((2x+1)^2+3)-(16)/(3sqrt(3))tan^(-1)((2x+1)/(sqrt(3)))+C`

B

b.`-(1)/(x^(2)+x+1)-(4)/(3)tan^(-1)(4x+3)+C`

C

c.`(1)/(2(x^(2)+x+1))-((2x+1)^(2))/((x^(2)+x+1)^(2))+C`

D

d.`(1)/(4(x^(2)+x+1))+(2)/(3)tan^(-1)(2x+1)+C`

Text Solution

Verified by Experts

The correct Answer is:

a

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