Final Answer
$\frac{3\sqrt[3]{4}}{2}\sqrt[3]{x^{2}}+C_0$
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Step-by-step Solution
Problem to solve:
$\int\frac{2x^{\left(-1\right)\cdot\frac{1}{3}}}{2^{\frac{1}{3}}}dx$
Specify the solving method
1
Simplifying
$\int\sqrt[3]{4}x^{-\frac{1}{3}}dx$
Learn how to solve integrals of rational functions problems step by step online.
$\int\sqrt[3]{4}x^{-\frac{1}{3}}dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((2x^(-1/3))/(2^1/3))dx. Simplifying. The integral of a function times a constant (\sqrt[3]{4}) is equal to the constant times the integral of the function. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as -\frac{1}{3}. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.
Final Answer
$\frac{3\sqrt[3]{4}}{2}\sqrt[3]{x^{2}}+C_0$