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