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