APFIVE Average Value of a Function
Which of the following equations correctly represents the average value of a function $$f(x)$$ over the interval $$[a,b]$$? Do not use a calculator.
A
$$\frac{1}{b-a}*\int_{a}^{b} f(x)\,dx$$
B
$$\int_{a}^{b} f(x)\,dx$$
C
$$\frac{1}{b}*\int_{a}^{b} f(x)\,dx + \frac{1}{a}$$
D
$$\frac{1}{2}*\int_{a}^{b} f(x)\,dx$$
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