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Rewrite the integrand $\frac{\left(x-1\right)^3}{\sqrt{x}}$ in expanded form
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$\int\left(\sqrt{x^{5}}-3\sqrt{x^{3}}+\frac{3x}{\sqrt{x}}+\frac{-1}{\sqrt{x}}\right)dx$
Learn how to solve polynomial factorization problems step by step online. Find the integral int(((x-1)^3)/(x^1/2))dx. Rewrite the integrand \frac{\left(x-1\right)^3}{\sqrt{x}} in expanded form. Expand the integral \int\left(\sqrt{x^{5}}-3\sqrt{x^{3}}+\frac{3x}{\sqrt{x}}+\frac{-1}{\sqrt{x}}\right)dx into 4 integrals using the sum rule for integrals, to then solve each integral separately. Simplify the fraction by x. The integral \int\sqrt{x^{5}}dx results in: \frac{2}{7}\sqrt{x^{7}}.