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Expand the fraction $\frac{x-8}{x^2+2}$ into $2$ simpler fractions with common denominator $x^2+2$
Learn how to solve integrals of rational functions problems step by step online.
$\int\left(\frac{x}{x^2+2}+\frac{-8}{x^2+2}\right)dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((x-8)/(x^2+2))dx. Expand the fraction \frac{x-8}{x^2+2} into 2 simpler fractions with common denominator x^2+2. Expand the integral \int\left(\frac{x}{x^2+2}+\frac{-8}{x^2+2}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{x}{x^2+2}dx results in: -\ln\left(\frac{\sqrt{2}}{\sqrt{x^2+2}}\right). The integral \int\frac{-8}{x^2+2}dx results in: -4\sqrt{2}\arctan\left(\frac{x}{\sqrt{2}}\right).