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$\int\frac{x^{10}+2x^6+x^2-1}{x^3-x^2+1}dx$
Learn how to solve integral calculus problems step by step online. Integrate the function (x^10+2x^6x^2+-1)/(x^3-x^2+1). Find the integral. Divide x^{10}+2x^6+x^2-1 by x^3-x^2+1. Resulting polynomial. Expand the integral \int\left(x^{7}+x^{6}+x^{5}+x^{3}-1\right)dx into 5 integrals using the sum rule for integrals, to then solve each integral separately.