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Rewrite the fraction $\frac{x^3+1}{x^3\left(x-1\right)}$ in $4$ simpler fractions using partial fraction decomposition
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$\frac{x^3+1}{x^3\left(x-1\right)}=\frac{A}{x^3}+\frac{B}{x-1}+\frac{C}{x}+\frac{D}{x^{2}}$
Learn how to solve equations problems step by step online. Find the integral int((x^3+1)/(x^3(x-1)))dx. Rewrite the fraction \frac{x^3+1}{x^3\left(x-1\right)} in 4 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B, C, D. The first step is to multiply both sides of the equation from the previous step by x^3\left(x-1\right). Multiplying polynomials. Simplifying.