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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 $\frac{5x+1}{\left(2x+1\right)\left(x-1\right)}$ in $2$ simpler fractions using partial fraction decomposition
Learn how to solve integrals of rational functions problems step by step online.
$\frac{1}{2x+1}+\frac{2}{x-1}$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((5x+1)/((2x+1)(x-1)))dx. Rewrite the fraction \frac{5x+1}{\left(2x+1\right)\left(x-1\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{1}{2x+1}+\frac{2}{x-1}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{1}{2x+1}dx results in: \frac{1}{2}\ln\left(2x+1\right). The integral \int\frac{2}{x-1}dx results in: 2\ln\left(x-1\right).
