Learn how to solve integrals of polynomial functions problems step by step online. Find the integral int(x^3(x-3)^2)dx. Rewrite the integrand x^3\left(x-3\right)^2 in expanded form. Expand the integral \int\left(x^{5}-6x^{4}+9x^3\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int x^{5}dx results in: \frac{x^{6}}{6}. The integral \int-6x^{4}dx results in: -\frac{6}{5}x^{5}.

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