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- Integrate by partial fractions
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Rewrite the fraction $\frac{-14}{\left(2x+3\right)\left(x-2\right)}$ in $2$ simpler fractions using partial fraction decomposition
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\frac{4}{2x+3}+\frac{-2}{x-2}$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int(-14/((2x+3)(x-2)))dx. Rewrite the fraction \frac{-14}{\left(2x+3\right)\left(x-2\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{4}{2x+3}+\frac{-2}{x-2}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{4}{2x+3}dx results in: 2\ln\left(2x+3\right). The integral \int\frac{-2}{x-2}dx results in: -2\ln\left(x-2\right).