Final answer to the problem
$\frac{9}{2}\sqrt[3]{x^{4}}+C_0$
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Step-by-step Solution
Learn how to solve integrals with radicals problems step by step online. Integrate int(6x^(1/3))dx. The integral of a function times a constant (6) 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}. Simplify the expression. 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 to the problem
$\frac{9}{2}\sqrt[3]{x^{4}}+C_0$
