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Rewrite the expression $\frac{8x}{x^2-4}$ inside the integral in factored form
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$\int_{2}^{4}\frac{8x}{\left(x+2\right)\left(x-2\right)}dx$
Learn how to solve differential calculus problems step by step online. Integrate the function (8x)/(x^2-4) from 2 to 4. Rewrite the expression \frac{8x}{x^2-4} inside the integral in factored form. Take out the constant 8 from the integral. Rewrite the fraction \frac{x}{\left(x+2\right)\left(x-2\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-2\right).