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Rewrite the integrand $\left(x^5-10x^2-10\right)\left(x^2-2\right)$ in expanded form
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$\int\left(x^{7}-2x^5-10x^{4}+10x^2+20\right)dx$
Learn how to solve problems step by step online. Find the integral int((x^5-10x^2+-10)(x^2-2))dx. Rewrite the integrand \left(x^5-10x^2-10\right)\left(x^2-2\right) in expanded form. Expand the integral \int\left(x^{7}-2x^5-10x^{4}+10x^2+20\right)dx into 5 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int x^{7}dx results in: \frac{x^{8}}{8}. The integral \int-2x^5dx results in: -\frac{1}{3}x^{6}.