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$\int\frac{2x^3+x^2-x}{x^2-2x+5}dx$
Learn how to solve integral calculus problems step by step online. Find the integral of (2x^3+x^2-x)/(x^2-2x+5). Find the integral. Divide 2x^3+x^2-x by x^2-2x+5. Resulting polynomial. Expand the integral \int\left(2x+5+\frac{-x-25}{x^2-2x+5}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately.