6.5 Integral Applications
Average Value of a Function
Question #1 (Easy): Finding the Average Value of a Polynomial Function
Average value of a function is determined by adding all the data points , then dividing it by the
number of data points . Rearranging gives .
∑ ∑ ∑
Thus, ∑ .
As : ∑ ∫ . Therefore, ∫ .
1) Find the average value of the function over the interval [ ].
2) Find the val