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Expand the fraction $\frac{x-3}{x^2-49}$ into $2$ simpler fractions with common denominator $x^2-49$
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$\int\left(\frac{x}{x^2-49}+\frac{-3}{x^2-49}\right)dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((x-3)/(x^2-49))dx. Expand the fraction \frac{x-3}{x^2-49} into 2 simpler fractions with common denominator x^2-49. Expand the integral \int\left(\frac{x}{x^2-49}+\frac{-3}{x^2-49}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{x}{x^2-49}dx results in: -\ln\left(\frac{7}{\sqrt{x^2-49}}\right). The integral \int\frac{-3}{x^2-49}dx results in: \frac{3}{14}\ln\left(x+7\right)-\frac{3}{14}\ln\left(x-7\right).