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

Find the integral int(6x^2(x^2-3))dx