Average Value of a Function
Consider the function $$f(x)= x^2$$ over the interval $$[0,40]$$. Which of the following expressions correctly calculates the average value of $$f(x)$$ on that interval?
A
$$\frac{1}{40} \int_{0}^{40} x^2\,dx$$
B
$$\frac{1}{2} \int_{0}^{40} x^2\,dx$$
C
$$\frac{1}{40} \int_{0}^{40} x\,dx$$
D
$$\int_{0}^{40} x^2\,dx$$
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