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Expand the fraction $\frac{5x-2}{x^2-4}$ into $2$ simpler fractions with common denominator $x^2-4$
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$\int\left(\frac{5x}{x^2-4}+\frac{-2}{x^2-4}\right)dx$
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. The integral 5\int\frac{x}{x^2-4}dx results in: \frac{5}{2}\ln\left(x+2\right)+\frac{5}{2}\ln\left(x-2\right). Gather the results of all integrals.