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

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