Final Answer
$11.889882$
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Step-by-step Solution
Problem to solve:
$\int_{0}^{2}\left(x^{\frac{1}{3}}+5\right)dx$
Specify the solving method
1
Expand the integral $\int_{0}^{2}\left(\sqrt[3]{x}+5\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
$\int_{0}^{2}\sqrt[3]{x}dx+\int_{0}^{2}5dx$
Learn how to solve definite integrals problems step by step online.
$\int_{0}^{2}\sqrt[3]{x}dx+\int_{0}^{2}5dx$
Learn how to solve definite integrals problems step by step online. Integrate the function x^1/3+5 from 0 to 2. Expand the integral \int_{0}^{2}\left(\sqrt[3]{x}+5\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{0}^{2}\sqrt[3]{x}dx results in: \frac{3\sqrt[3]{2}}{2}. The integral \int_{0}^{2}5dx results in: 10. Gather the results of all integrals.
Final Answer
$11.889882$