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Rewrite the fraction $\frac{x^4+81}{x\left(x^2+9\right)^2}$ in $3$ simpler fractions using partial fraction decomposition
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$\frac{x^4+81}{x\left(x^2+9\right)^2}=\frac{A}{x}+\frac{Bx+C}{\left(x^2+9\right)^2}+\frac{Dx+F}{x^2+9}$
Learn how to solve problems step by step online. Find the integral int((x^4+81)/(x(x^2+9)^2))dx. Rewrite the fraction \frac{x^4+81}{x\left(x^2+9\right)^2} in 3 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\left(x^2+9\right)^2. Multiplying polynomials. Simplifying.