Briefly explain why the average value of an even continuous function on can be…

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Briefly explain why the average value of an even continuous function

f

[-a,a]

can be computed using

\tfrac{1}{a}\int_{0}^{a} f(x)\,dx

. (One or two concise sentences suffice.)