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Rewrite the integrand $\left(x^2-x-3\right)^3$ in expanded form
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$\int\left(x^{6}-3x^{5}-6x^{4}+17x^{3}+18x^2-27-27x\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral int((x^2-x+-3)^3)dx. Rewrite the integrand \left(x^2-x-3\right)^3 in expanded form. Expand the integral \int\left(x^{6}-3x^{5}-6x^{4}+17x^{3}+18x^2-27-27x\right)dx into 7 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int x^{6}dx results in: \frac{x^{7}}{7}. The integral \int-3x^{5}dx results in: -\frac{1}{2}x^{6}.