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

Explanation

1. 01

   $x^3$ is odd, so its part over $[-2, 2]$ is 0; $x^2$ is even.

2. 02

   $2\int_0^2 x^2\,dx = 2 \cdot \frac{8}{3} = \frac{16}{3}$.