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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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Rewrite the fraction $\frac{1}{x\left(2x+3\right)}$ in $2$ simpler fractions using partial fraction decomposition
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\frac{1}{3x}+\frac{-2}{3\left(2x+3\right)}$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int(1/(x(2x+3)))dx. Rewrite the fraction \frac{1}{x\left(2x+3\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{1}{3x}+\frac{-2}{3\left(2x+3\right)}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{1}{3x}dx results in: \frac{1}{3}\ln\left(x\right). The integral \int\frac{-2}{3\left(2x+3\right)}dx results in: -\frac{1}{3}\ln\left(2x+3\right).
