Find the average value over the given interval.

f(x) = x^2 - 5x + 5; [0, 8]

Question

Find the average value over the given interval.

f(x) = x^2 - 5x + 5; [0, 8]

anonymous · Answer

How would you work this out?

anonymous · Answer

Find the total area, then divide by the width. That should give you the average height.

anonymous · Answer

|dw:1336661284749:dw|

anonymous · Answer

how would i find the area?

amistre64 · Answer

you need to determine the slope of the line between 2 points; (0,f(0)) and (8,f(8))

amistre64 · Answer

unless im reading this wrong .... which is highly possible

amistre64 · Answer

anonymous · Answer

I don't think that helps you, Amistre... Does it?

anonymous · Answer

It would help you if you were trying to find the average rate of change.

amistre64 · Answer

yeah, which is why i have my doubts on my interpretation of the question :)  yours does sound more in line with it.

anonymous · Answer

$$ave=\frac{1}{b-a}\int\limits_{a}^{b}f(x)dx=\frac{1}{8}\int\limits_{0}^{8}(x^2-5x+5)dx$$Let me know if you need help evaluating this integral