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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 $\frac{18-\left(4x^3+2x^2\right)}{x^4+3x^3}$ inside the integral in factored form
Learn how to solve integrals of rational functions problems step by step online.
$\int\frac{18-\left(4x^3+2x^2\right)}{x^{3}\left(x+3\right)}dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((18-(4x^3+2x^2))/(x^4+3x^3))dx. Rewrite the expression \frac{18-\left(4x^3+2x^2\right)}{x^4+3x^3} inside the integral in factored form. Solve the product -\left(4x^3+2x^2\right). Rewrite the fraction \frac{18-4x^3-2x^2}{x^{3}\left(x+3\right)} in 4 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{6}{x^{3}}+\frac{-4}{x+3}+\frac{-2}{x^{2}}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately.