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Rewrite the fraction $\frac{x^3+2x^2+3}{x^3\left(x-1\right)^2}$ in $5$ simpler fractions using partial fraction decomposition
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$\frac{x^3+2x^2+3}{x^3\left(x-1\right)^2}=\frac{A}{x^3}+\frac{B}{\left(x-1\right)^2}+\frac{C}{x}+\frac{D}{x^{2}}+\frac{F}{x-1}$
Learn how to solve problems step by step online. Find the integral int((x^3+2x^2+3)/(x^3(x-1)^2))dx. Rewrite the fraction \frac{x^3+2x^2+3}{x^3\left(x-1\right)^2} in 5 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B, C, D, F. The first step is to multiply both sides of the equation from the previous step by x^3\left(x-1\right)^2. Multiplying polynomials. Simplifying.