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Rewrite the integrand $x^5\left(5-x^2\right)$ in expanded form
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$\int\left(5x^5-x^{7}\right)dx$
Learn how to solve problems step by step online. Find the integral int(x^5(5-x^2))dx. Rewrite the integrand x^5\left(5-x^2\right) in expanded form. Expand the integral \int\left(5x^5-x^{7}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int5x^5dx results in: \frac{5}{6}x^{6}. The integral \int-x^{7}dx results in: \frac{-x^{8}}{8}.