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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 $\frac{2}{\left(x-2\right)\left(x+1\right)}$ in $2$ simpler fractions using partial fraction decomposition
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\frac{2}{3\left(x-2\right)}+\frac{-2}{3\left(x+1\right)}$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int(2/((x-2)(x+1)))dx. Rewrite the fraction \frac{2}{\left(x-2\right)\left(x+1\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{2}{3\left(x-2\right)}+\frac{-2}{3\left(x+1\right)}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{2}{3\left(x-2\right)}dx results in: \frac{2}{3}\ln\left(x-2\right). The integral \int\frac{-2}{3\left(x+1\right)}dx results in: -\frac{2}{3}\ln\left(x+1\right).
