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Learn how to solve integrals of rational functions problems step by step online. Find the integral int((5x-2)/(x^2-4))dx. Expand the fraction \frac{5x-2}{x^2-4} into 2 simpler fractions with common denominator x^2-4. Simplify the expression inside the integral. Rewrite the fraction \frac{x}{x^2-4} inside the integral as the product of two functions: x\frac{1}{x^2-4}. We can solve the integral \int x\frac{1}{x^2-4}dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula.
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