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Rewrite the expression $\frac{x^2-7x-12}{x^3-x^2-6x}$ inside the integral in factored form
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$\int_{1}^{2}\frac{x^2-7x-12}{x\left(x-3\right)\left(x+2\right)}dx$
Learn how to solve definite integrals problems step by step online. Integrate the function (x^2-7x+-12)/(x^3-x^2-6x) from 1 to 2. Rewrite the expression \frac{x^2-7x-12}{x^3-x^2-6x} inside the integral in factored form. Rewrite the fraction \frac{x^2-7x-12}{x\left(x-3\right)\left(x+2\right)} 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-3\right)\left(x+2\right). Multiplying polynomials.