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Rewrite the fraction $\frac{x+3}{x\left(x+1\right)^3}$ in $4$ simpler fractions using partial fraction decomposition
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$\frac{x+3}{x\left(x+1\right)^3}=\frac{A}{x}+\frac{B}{\left(x+1\right)^3}+\frac{C}{x+1}+\frac{D}{\left(x+1\right)^{2}}$
Learn how to solve problems step by step online. Find the integral int((x+3)/(x(x+1)^3))dx. Rewrite the fraction \frac{x+3}{x\left(x+1\right)^3} 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\left(x+1\right)^3. Multiplying polynomials. Simplifying.