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Rewrite the fraction $\frac{37-11x}{\left(x^2-x-2\right)\left(x-3\right)}$ in $2$ simpler fractions using partial fraction decomposition
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$\frac{37-11x}{\left(x^2-x-2\right)\left(x-3\right)}=\frac{Ax+B}{x^2-x-2}+\frac{C}{x-3}$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int((37-11x)/((x^2-x+-2)(x-3)))dx. Rewrite the fraction \frac{37-11x}{\left(x^2-x-2\right)\left(x-3\right)} in 2 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-x-2\right)\left(x-3\right). Multiplying polynomials. Simplifying.