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Rewrite the fraction $\frac{14x^3+24x}{\left(x^2+1\right)\left(x^2+2\right)}$ in $2$ simpler fractions using partial fraction decomposition
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$\frac{14x^3+24x}{\left(x^2+1\right)\left(x^2+2\right)}=\frac{Ax+B}{x^2+1}+\frac{Cx+D}{x^2+2}$
Learn how to solve problems step by step online. Find the integral int((14x^3+24x)/((x^2+1)(x^2+2)))dx. Rewrite the fraction \frac{14x^3+24x}{\left(x^2+1\right)\left(x^2+2\right)} in 2 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 \left(x^2+1\right)\left(x^2+2\right). Multiplying polynomials. Simplifying.