Learn how to solve problems step by step online. Find the integral int((1-x^3)^2x^3)dx. Rewrite the integrand \left(1-x^3\right)^2x^3 in expanded form. Expand the integral \int\left(x^3-2x^{6}+x^{9}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int x^3dx results in: \frac{x^{4}}{4}. The integral \int-2x^{6}dx results in: -\frac{2}{7}x^{7}.

Find the integral int((1-x^3)^2x^3)dx