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Expand the integral $\int\left(5x+\frac{-2}{x^2-4}\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
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$\int5xdx+\int\frac{-2}{x^2-4}dx$
Learn how to solve integrals of polynomial functions problems step by step online. Integrate int(5x+-2/(x^2-4))dx. Expand the integral \int\left(5x+\frac{-2}{x^2-4}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int5xdx results in: \frac{5}{2}x^2. The integral \int\frac{-2}{x^2-4}dx results in: \frac{1}{2}\ln\left(x+2\right)-\frac{1}{2}\ln\left(x-2\right). Gather the results of all integrals.