Respuesta
Even: $f(-x) = f(x)$ (symmetric about y-axis); Odd: $f(-x) = -f(x)$ (symmetric about origin).
Explicación
A standard consequence is that $\int_{-a}^a f(x)\,dx = 0$ for continuous odd functions, and $2\int_0^a f(x)\,dx$ for continuous even functions.