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Rewrite the integrand $x\left(\sqrt{x}+3\right)$ in expanded form
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$\int\left(\sqrt{x^{3}}+3x\right)dx$
Learn how to solve problems step by step online. Integrate int(x(x^1/2+3))dx. Rewrite the integrand x\left(\sqrt{x}+3\right) in expanded form. Expand the integral \int\left(\sqrt{x^{3}}+3x\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\sqrt{x^{3}}dx results in: \frac{2}{5}\sqrt{x^{5}}. The integral \int3xdx results in: \frac{3}{2}x^2.