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** Step-by-step Solution **

** Specify the solving method

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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 $\frac{1}{3}$

Learn how to solve product rule of differentiation problems step by step online.

$\left[\frac{1}{\frac{4}{3}}\sqrt[3]{x^{4}}\right]_{0}^{8}$

Learn how to solve product rule of differentiation problems step by step online. Integrate the function x^1/3 from 0 to 8. 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}. Divide 1 by \frac{4}{3}. Evaluate the definite integral. Simplify the expression inside the integral.

** Final Answer

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