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Calculate the power $\sqrt[3]{2}$
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$\int_{3}^{9}\sqrt[3]{2}\left(3z+3\right)dz$
Learn how to solve definite integrals problems step by step online. Integrate the function (3z+3)2^1/3 from 3 to 9. Calculate the power \sqrt[3]{2}. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. Expand the integral \int_{3}^{9}\left(3z+3\right)dz into 2 integrals using the sum rule for integrals, to then solve each integral separately. Solve the product \sqrt[3]{2}\left(\int_{3}^{9}3zdz+\int_{3}^{9}3dz\right).