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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
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- Weierstrass Substitution
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- Integrate using basic integrals
- Product of Binomials with Common Term
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Rewrite the fraction $\frac{x-1}{\left(x+1\right)\left(x+4\right)}$ in $2$ simpler fractions using partial fraction decomposition
Learn how to solve integrals of rational functions problems step by step online.
$\frac{-2}{3\left(x+1\right)}+\frac{5}{3\left(x+4\right)}$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((x-1)/((x+1)(x+4)))dx. Rewrite the fraction \frac{x-1}{\left(x+1\right)\left(x+4\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{-2}{3\left(x+1\right)}+\frac{5}{3\left(x+4\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+1\right)}dx results in: -\frac{2}{3}\ln\left(x+1\right). The integral \int\frac{5}{3\left(x+4\right)}dx results in: \frac{5}{3}\ln\left(x+4\right).
