Exercise
$\int\left(x+20\right)\left(x-8\right)dx$
Step-by-step Solution
Learn how to solve problems step by step online. Find the integral int((x+20)(x-8))dx. Rewrite the integrand \left(x+20\right)\left(x-8\right) in expanded form. Expand the integral \int\left(x^2+12x-160\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int x^2dx results in: \frac{x^{3}}{3}. The integral \int12xdx results in: 6x^2.
Find the integral int((x+20)(x-8))dx
Final answer to the exercise
$\frac{x^{3}}{3}+6x^2-160x+C_0$