Evaluate int (dx)/((x-1)sqrt(x^(2)+x+1)...

Evaluate `int (dx)/((x-1)sqrt(x^(2)+x+1))`.

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The correct Answer is:

`-(1)/(sqrt(3))log|((1)/(x-1)+1/2)+sqrt((12((1)/(x-1)+1/2)^(2)+1)/(12))|+C`

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