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$\int\frac{x^2-x}{x-1}dx$
Learn how to solve integral calculus problems step by step online. Find the integral of (x^2-x)/(x-1). Find the integral. Rewrite the expression \frac{x^2-x}{x-1} inside the integral in factored form. Applying the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, in this case n=1. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.