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