## anonymous 5 years ago Integrals & Even functions??

1. anonymous

Given that f is an even function and $\int\limits_{0}^{2}f(t)dt=17$, what is $\int\limits_{-2}^{2}f(t)dt$?

2. amistre64

it is twice the area right? so from [-2,2] the area = 34..if I recall correctly

3. amistre64

or you could simply move the function over by +2$\int\limits_{0}^{4}f(x+2)dx$

4. amistre64

maybe that should be f(x-2)....kinda fuzzy about that part :)

5. amistre64