Final Answer
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Expand the integral $\int\left(x+\frac{-x-1}{x^2\left(x-1\right)}\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
Learn how to solve integrals of rational functions problems step by step online.
$\int xdx+\int\frac{-x-1}{x^2\left(x-1\right)}dx$
Learn how to solve integrals of rational functions problems step by step online. Integrate int(x+(-x-1)/(x^2(x-1)))dx. Expand the integral \int\left(x+\frac{-x-1}{x^2\left(x-1\right)}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. Rewrite the fraction \frac{-x-1}{x^2\left(x-1\right)} in 3 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B, C. The first step is to multiply both sides of the equation from the previous step by x^2\left(x-1\right). Multiplying polynomials.