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Rewrite the expression $\frac{2-x}{9x+x^3}$ inside the integral in factored form
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$\int_{1}^{2}\frac{2-x}{x\left(9+x^2\right)}dx$
Learn how to solve definite integrals problems step by step online. Integrate the function (2-x)/(9x+x^3) from 1 to 2. Rewrite the expression \frac{2-x}{9x+x^3} inside the integral in factored form. Rewrite the fraction \frac{2-x}{x\left(9+x^2\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 x\left(9+x^2\right). Multiply both sides of the equality by 1 to simplify the fractions.