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Rewrite the fraction $\frac{4x^2-6x+5}{x^3\left(x+6\right)}$ in $4$ simpler fractions using partial fraction decomposition
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$\frac{4x^2-6x+5}{x^3\left(x+6\right)}=\frac{A}{x^3}+\frac{B}{x+6}+\frac{C}{x}+\frac{D}{x^{2}}$
Learn how to solve problems step by step online. Find the integral int((4x^2-6x+5)/(x^3(x+6)))dx. Rewrite the fraction \frac{4x^2-6x+5}{x^3\left(x+6\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+6\right). Multiplying polynomials. Simplifying.