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- Integrate by partial fractions
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Rewrite the fraction $\frac{6}{\left(x+4\right)\left(x-2\right)}$ in $2$ simpler fractions using partial fraction decomposition
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\frac{-1}{x+4}+\frac{1}{x-2}$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int(6/((x+4)(x-2)))dx. Rewrite the fraction \frac{6}{\left(x+4\right)\left(x-2\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{-1}{x+4}+\frac{1}{x-2}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{-1}{x+4}dx results in: -\ln\left|x+4\right|. The integral \int\frac{1}{x-2}dx results in: \ln\left|x-2\right|.