Exercise
$\int\left(x-5\right)\left(x+3\right)dx$
Step-by-step Solution
Learn how to solve integrals of polynomial functions problems step by step online. Find the integral int((x-5)(x+3))dx. Rewrite the integrand \left(x-5\right)\left(x+3\right) in expanded form. Expand the integral \int\left(x^2-2x-15\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 \int-2xdx results in: -x^2.
Find the integral int((x-5)(x+3))dx
Final answer to the exercise
$\frac{x^{3}}{3}-x^2-15x+C_0$