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Rewrite the integrand $x^2\left(\sqrt{x}+\frac{-x}{2}\right)$ in expanded form
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$\int_{0}^{1}\left(\sqrt{x^{5}}+\frac{-x^{3}}{2}\right)dx$
Learn how to solve definite integrals problems step by step online. Integrate the function x^2(x^1/2+(-x)/2) from 0 to 1. Rewrite the integrand x^2\left(\sqrt{x}+\frac{-x}{2}\right) in expanded form. Expand the integral \int_{0}^{1}\left(\sqrt{x^{5}}+\frac{-x^{3}}{2}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{0}^{1}\sqrt{x^{5}}dx results in: \frac{2}{7}. The integral \int_{0}^{1}\frac{-x^{3}}{2}dx results in: -\frac{1}{8}.