Learn how to solve quadratic equations problems step by step online. Find the integral int(6r(r-1)(r-2))dr. The integral of a function times a constant (6) is equal to the constant times the integral of the function. Rewrite the integrand r\left(r-1\right)\left(r-2\right) in expanded form. Expand the integral \int\left(r^{3}-3r^2+2r\right)dr into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral 6\int r^{3}dr results in: \frac{3}{2}r^{4}.

Find the integral int(6r(r-1)(r-2))dr