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- Integrate by partial fractions
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Rewrite the fraction $\frac{5x^3-4x}{\left(9x^2+5\right)\left(3x+2\right)\left(3x-2\right)}$ in $3$ simpler fractions using partial fraction decomposition
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\frac{\frac{61}{81}x}{9x^2+5}+\frac{-8}{243\left(3x+2\right)}+\frac{-8}{243\left(3x-2\right)}$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int((5x^3-4x)/((9x^2+5)(3x+2)(3x-2)))dx. Rewrite the fraction \frac{5x^3-4x}{\left(9x^2+5\right)\left(3x+2\right)\left(3x-2\right)} in 3 simpler fractions using partial fraction decomposition. Simplify the expression. The integral \frac{61}{81}\int\frac{x}{9x^2+5}dx results in: -\frac{61}{729}\ln\left(\frac{\sqrt{5}}{\sqrt{9x^2+5}}\right). The integral \int\frac{-8}{243\left(3x+2\right)}dx results in: -\frac{8}{729}\ln\left(3x+2\right).
