Even/odd functions

A function, $f(x)$ is:

• even if $f(-x)=f(x)$.
• odd if if $f(-x)=-f(x)$.

Definition: Suppose $f(x)$ is even and defined on $[-L, L]$, where $L$ is some constant, then:

If $f(x)$ is odd and defined on $[-L, L]$, then: