Evaluate $\int_{0}^{2} \left(3 x^{2} + 2 x\right)\,dx$.

Explanation

1. 01

   An antiderivative is $F(x) = x^{2} \left(x + 1\right)$.

2. 02

   By the fundamental theorem, the integral is $F(2) - F(0) = 12$.