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- Integrate by partial fractions
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Rewrite the fraction $\frac{x+8}{x\left(x-4\right)}$ in $2$ simpler fractions using partial fraction decomposition
Learn how to solve differential calculus problems step by step online.
$\frac{-2}{x}+\frac{3}{x-4}$
Learn how to solve differential calculus problems step by step online. Find the integral int((x+8)/(x(x-4)))dx. Rewrite the fraction \frac{x+8}{x\left(x-4\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{-2}{x}+\frac{3}{x-4}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{-2}{x}dx results in: -2\ln\left(x\right). The integral \int\frac{3}{x-4}dx results in: 3\ln\left(x-4\right).