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Rewrite the fraction $\frac{1}{x^3\left(x^2+4x+5\right)}$ in $4$ simpler fractions using partial fraction decomposition
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$\frac{1}{x^3\left(x^2+4x+5\right)}=\frac{A}{x^3}+\frac{Bx+C}{x^2+4x+5}+\frac{D}{x}+\frac{F}{x^{2}}$
Learn how to solve problems step by step online. Integrate the function 1/(x^3(x^2+4x+5)) from 1 to 2. Rewrite the fraction \frac{1}{x^3\left(x^2+4x+5\right)} in 4 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^2+4x+5\right). Multiplying polynomials. Simplifying.