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$\int\frac{x^2-2x+2}{x-1}dx$
Learn how to solve integral calculus problems step by step online. Find the integral of (x^2-2x+2)/(x-1). Find the integral. Divide x^2-2x+2 by x-1. Resulting polynomial. Expand the integral \int\left(x-1+\frac{1}{x-1}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately.