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