Use the figure below to find the following quantities.
(a)
(b) The average value of f(x) on the interval [1, 6].
can i get some help with this bad flippin johnny, thanks...
mathlete
(a) What does a definite integral mean? Surely you know it's the area under the curve. You know each square is $\displaystyle 1 units^{2}$ in area so you can figure out what the area under the curve is.
(b) Average value of a function over an interval [a,b] is given by:
$\displaystyle f_{avg} = \frac{1}{b-a} {\color{blue} \int_{a}^{b} f(x) dx}$
You are given a and b and you know found the definite integral from (a).