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$\frac{5x^2+14x+10}{\left(x+2\right)\left(x+1\right)^2}=\frac{A}{x+2}+\frac{B}{\left(x+1\right)^2}+\frac{C}{x+1}$

Learn how to solve problems step by step online. Find the integral int((5x^2+14x+10)/((x+2)(x+1)^2))dx. Rewrite the fraction \frac{5x^2+14x+10}{\left(x+2\right)\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 \left(x+2\right)\left(x+1\right)^2. Multiplying polynomials. Simplifying.