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Expand the integral $\int\left(x+\frac{-2x^2+1}{x^4+x^3}\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
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$\int xdx+\int\frac{-2x^2+1}{x^4+x^3}dx$
Learn how to solve problems step by step online. Integrate int(x+(-2x^2+1)/(x^4+x^3))dx. Expand the integral \int\left(x+\frac{-2x^2+1}{x^4+x^3}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int xdx results in: \frac{1}{2}x^2. Gather the results of all integrals. Rewrite the expression \frac{-2x^2+1}{x^4+x^3} inside the integral in factored form.