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Learn how to solve problems step by step online. Find the integral int((2x^3-4x^2-15x+15)/(x^2-2x+8))dx. Divide 2x^3-4x^2-15x+15 by x^2-2x+8. Resulting polynomial. Expand the integral \int\left(2x+\frac{-31x+15}{x^2-2x+8}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int2xdx results in: x^2.
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