Exercise
$\int6\left(x+3\right)\left(x+1\right)dx$
Step-by-step Solution
Learn how to solve problems step by step online. Find the integral int(6(x+3)(x+1))dx. Rewrite the integrand 6\left(x+3\right)\left(x+1\right) in expanded form. Expand the integral \int\left(6x^2+24x+18\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int6x^2dx results in: 2x^{3}. The integral \int24xdx results in: 12x^2.
Find the integral int(6(x+3)(x+1))dx
Final answer to the exercise
$2x^{3}+12x^2+18x+C_0$