Exercise
$\int\left(x+4\right)\left(3-x\right)dx$
Step-by-step Solution
Learn how to solve problems step by step online. Find the integral int((x+4)(3-x))dx. Rewrite the integrand \left(x+4\right)\left(3-x\right) in expanded form. Expand the integral \int\left(-x-x^2+12\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int-xdx results in: -\frac{1}{2}x^2. The integral \int-x^2dx results in: \frac{-x^{3}}{3}.
Find the integral int((x+4)(3-x))dx
Final answer to the exercise
$-\frac{1}{2}x^2+\frac{-x^{3}}{3}+12x+C_0$