Given f is an even function and that

$$\int_{0}^{5} f(x) dx = 12 $$

determine

$$\int_{-5}^{5} f(x) dx $$

and

Given f is an odd function and that

$$\int_{0}^{9} f(x) dx = 4 $$

determine

$$\int_{-9}^{9} f(x) dx $$

hmmm I simply double for even functions and with odd functions the areas negate each other right? making it 0 ...Is it right to assume that alot of sin and cos graphs will most likely be odd over one complete cycle?

any help would be appreciated ...thanks.