Final Answer
$\frac{45}{4}$
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Step-by-step Solution
Problem to solve:
$\int_{1}^{8} x^{\frac{1}{3}}dx$
Specify the solving method
1
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 $\frac{1}{3}$
$\left[\frac{3}{4}\sqrt[3]{x^{4}}\right]_{1}^{8}$
Learn how to solve definite integrals problems step by step online.
$\left[\frac{3}{4}\sqrt[3]{x^{4}}\right]_{1}^{8}$
Learn how to solve definite integrals problems step by step online. Integrate the function x^1/3 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.
Final Answer
$\frac{45}{4}$