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