Final Answer
$\frac{6141}{11}$
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Step-by-step Solution
Problem to solve:
$\int_{1}^{8} x^{\frac{8}{3}}dx$
Specify the solving method
1
Simplifying
$\int_{1}^{8}\sqrt[3]{x^{8}}dx$
Learn how to solve definite integrals problems step by step online.
$\int_{1}^{8}\sqrt[3]{x^{8}}dx$
Learn how to solve definite integrals problems step by step online. Integrate the function x^(8/3) from 1 to 8. Simplifying. 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{8}{3}. Evaluate the definite integral. Simplifying.
Final Answer
$\frac{6141}{11}$