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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 $\frac{x-2}{x\left(x+1\right)\left(x-1\right)}$ in $3$ simpler fractions using partial fraction decomposition

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$\frac{2}{x}+\frac{-3}{2\left(x+1\right)}+\frac{-1}{2\left(x-1\right)}$

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

** Final answer to the problem

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