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- Integrate by partial fractions
- Integrate by substitution
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Rewrite the fraction $\frac{1}{x\left(x+4\right)}$ in $2$ simpler fractions using partial fraction decomposition
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\frac{1}{4x}+\frac{-1}{4\left(x+4\right)}$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int(1/(x(x+4)))dx. Rewrite the fraction \frac{1}{x\left(x+4\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{1}{4x}+\frac{-1}{4\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{1}{4x}dx results in: \frac{1}{4}\ln\left(x\right). The integral \int\frac{-1}{4\left(x+4\right)}dx results in: -\frac{1}{4}\ln\left(x+4\right).