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Rewrite the integrand $\sqrt[3]{x}\left(x-4\right)$ in expanded form
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$\int\left(\sqrt[3]{x^{4}}-4\sqrt[3]{x}\right)dx$
Learn how to solve integrals with radicals problems step by step online. Integrate int(x^1/3(x-4))dx. Rewrite the integrand \sqrt[3]{x}\left(x-4\right) in expanded form. Expand the integral \int\left(\sqrt[3]{x^{4}}-4\sqrt[3]{x}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\sqrt[3]{x^{4}}dx results in: \frac{3}{7}\sqrt[3]{x^{7}}. The integral \int-4\sqrt[3]{x}dx results in: -3\sqrt[3]{x^{4}}.