Editing Mean (section)

===Mean of a function===
{{Main|Mean of a function}}
In some circumstances, mathematicians may calculate a mean of an infinite (or even an [[uncountable]]) set of values. This can happen when calculating the mean value <math>y_\text{avg}</math> of a function <math>f(x)</math>. Intuitively, a mean of a function can be thought of as calculating the area under a section of a curve, and then dividing by the length of that section. This can be done crudely by counting squares on graph paper, or more precisely by [[integral|integration]]. The integration formula is written as:

: <math>y_\text{avg}(a, b) = \frac{1}{b - a} \int\limits_a^b\! f(x)\,dx</math>

In this case, care must be taken to make sure that the integral converges. But the mean may be finite even if the function itself tends to infinity at some points.