## Step-by-step explanation

Problem to solve:

Learn how to solve definite integrals problems step by step online.

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

Learn how to solve definite integrals problems step by step online. Integrate w^0.3333333333333333 from 1 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}. Evaluate the definite integral. Simplifying.