Final answer to the problem
Step-by-step Solution
Specify the solving method
Find the integral
Learn how to solve integral calculus problems step by step online.
$\int4x^2\left(\left(3-x\right)^2+1\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral of 4x^2((3-x)^2+1). Find the integral. Rewrite the integrand 4x^2\left(\left(3-x\right)^2+1\right) in expanded form. Expand the integral \int\left(40x^2-24x^{3}+4x^{4}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int40x^2dx results in: \frac{40}{3}x^{3}.