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- Integrate by partial fractions
- Integrate by substitution
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- 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 $\frac{1}{x^3\left(x-1\right)^2}$ in $5$ simpler fractions using partial fraction decomposition
Learn how to solve integrals of rational functions problems step by step online.
$\frac{1}{x^3}+\frac{1}{\left(x-1\right)^2}+\frac{3}{x}+\frac{2}{x^{2}}+\frac{-3}{x-1}$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int(1/(x^3(x-1)^2))dx. Rewrite the fraction \frac{1}{x^3\left(x-1\right)^2} in 5 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{1}{x^3}+\frac{1}{\left(x-1\right)^2}+\frac{3}{x}+\frac{2}{x^{2}}+\frac{-3}{x-1}\right)dx into 5 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{1}{x^3}dx results in: \frac{1}{-2x^{2}}. The integral \int\frac{1}{\left(x-1\right)^2}dx results in: \frac{1}{-\left(x-1\right)}.
