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