Final answer to the problem
$\frac{3\sqrt[3]{\left(2\right)^{4}}}{4}+10$
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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
$\int_{0}^{2}\sqrt[3]{x}dx+\int_{0}^{2}5dx$
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$\int_{0}^{2}\sqrt[3]{x}dx+\int_{0}^{2}5dx$
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]{\left(2\right)^{4}}}{4}. The integral \int_{0}^{2}5dx results in: 10. Gather the results of all integrals.
Final answer to the problem
$\frac{3\sqrt[3]{\left(2\right)^{4}}}{4}+10$
Exact Numeric Answer
$11.889882$
