Learn how to solve trigonometric equations problems step by step online. Find the integral int(x(x^2+14x+24))dx. Rewrite the integrand x\left(x^2+14x+24\right) in expanded form. Expand the integral \int\left(x^{3}+14x^2+24x\right)dx into 3 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 \int14x^2dx results in: \frac{14}{3}x^{3}.

Find the integral int(x(x^2+14x+24))dx