Final Answer
$1.885011$
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Step-by-step Solution
Problem to solve:
$\int_{0}^{2}\sqrt[5]{x^{2}}dx$
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 $\frac{2}{5}$
$\left[\frac{5}{7} 1\sqrt[5]{x^{7}}\right]_{0}^{2}$
Learn how to solve definite integrals problems step by step online.
$\left[\frac{5}{7} 1\sqrt[5]{x^{7}}\right]_{0}^{2}$
Learn how to solve definite integrals problems step by step online. Integrate the function x^2/5 from 0 to 2. 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{2}{5}. Divide 1 by \frac{7}{5}. Evaluate the definite integral. Simplify the expression inside the integral.
Final Answer
$1.885011$