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Rewrite the integrand $\sqrt{x}\left(3x-2\right)$ in expanded form
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$\int\left(3\sqrt{x^{3}}-2\sqrt{x}\right)dx$
Learn how to solve integrals with radicals problems step by step online. Integrate int(x^1/2(3x-2))dx. Rewrite the integrand \sqrt{x}\left(3x-2\right) in expanded form. Expand the integral \int\left(3\sqrt{x^{3}}-2\sqrt{x}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int3\sqrt{x^{3}}dx results in: \frac{6}{5}\sqrt{x^{5}}. The integral \int-2\sqrt{x}dx results in: -\frac{4}{3}\sqrt{x^{3}}.