Evaluating integral help

Question

Evaluate the integral.

4	f(x) dx
−4
where f(x) =	2	if	−4 ≤ x ≤ 0
4 − x2	if	0 < x ≤ 4

Answer 1

∫_-4⁴f(x)dx = ∫_-4⁰2dx + ∫₀⁴(4 - x²)dx = 2x_-4⁰ + (4x - x³/3)₀⁴ = 8 + 16 - 64/3 = 8/3