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