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- Integrate by partial fractions
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Rewrite the fraction $\frac{9x-8}{\left(x-3\right)\left(2x-5\right)}$ in $2$ simpler fractions using partial fraction decomposition
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\frac{19}{x-3}+\frac{-29}{2x-5}$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int((9x-8)/((x-3)(2x-5)))dx. Rewrite the fraction \frac{9x-8}{\left(x-3\right)\left(2x-5\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{19}{x-3}+\frac{-29}{2x-5}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{19}{x-3}dx results in: 19\ln\left|x-3\right|. The integral \int\frac{-29}{2x-5}dx results in: -\frac{29}{2}\ln\left|2x-5\right|.