- #1

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## Homework Statement

∫1/(x^3-1)

## Homework Equations

A/(x-1) + (Bx+C)/(x^2+x+1)

1=A(x^2+x+1) + (Bx+C)(x-1)

## The Attempt at a Solution

I've solved for all the variables in this...

A= 1/3

B= -1/3

C= -2/3

which gets me:

1/3*Ln|x-1| + ∫(-(x/3)-(2/3))/(x^2+x+1)

I can't figure out how to integrate the second half. Maybe i'm not using the right u (u-sub)? There's probably something really simple i'm not seeing.