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Rewrite the expression $\frac{x}{x^2+5x+6}$ inside the integral in factored form
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$\int_{3}^{6}\frac{x}{\left(x+2\right)\left(x+3\right)}dx$
Learn how to solve definite integrals problems step by step online. Integrate the function x/(x^2+5x+6) from 3 to 6. Rewrite the expression \frac{x}{x^2+5x+6} inside the integral in factored form. Rewrite the fraction \frac{x}{\left(x+2\right)\left(x+3\right)} in 2 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B. The first step is to multiply both sides of the equation from the previous step by \left(x+2\right)\left(x+3\right). Multiplying polynomials.