Final answer to the problem
$\frac{18\sqrt[3]{\left(x^2-\frac{4}{3}\right)^{2}}}{\sqrt[3]{3}}+C_0$
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Step-by-step Solution
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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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1
Take out the constant $24$ from the integral
$24\int\frac{x}{\sqrt[3]{3x^2-4}}dx$
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$24\int\frac{x}{\sqrt[3]{3x^2-4}}dx$
Learn how to solve problems step by step online. Find the integral int((24x)/((3x^2-4)^(1/3)))dx. Take out the constant 24 from the integral. First, factor the terms inside the radical by 3 for an easier handling. Taking the constant out of the radical. We can solve the integral 24\int\frac{x}{\sqrt[3]{3}\sqrt[3]{x^2-\frac{4}{3}}}dx by applying integration method of trigonometric substitution using the substitution.
Final answer to the problem
$\frac{18\sqrt[3]{\left(x^2-\frac{4}{3}\right)^{2}}}{\sqrt[3]{3}}+C_0$
