`int x^2/(x-1) dx` Find the indefinite integral

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Rewrite the integral as ,





apply the sum rule,


Apply the power rule and standard integral `intdx/x=ln|x|`


Apply integral substitution `u=(x-1)` for `int1/(x-1)dx`




substitute back`u=(x-1)`,


So the final integration and adding a constant C to the solution yields,


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