http://img521.imageshack.us/img521/4549/bbav9.png [Broken](adsbygoogle = window.adsbygoogle || []).push({});

The problem states that it wants the upper and lower estimate of total distance. Therefore, I used rectangles to solve for it. However, let's say I'm working on upper limits. For my initial rectangles, I use the right endpoints, but then it begins to slope downward, so at that point, if I use right endpoints, I am below the graph. Do I continue using right endpoints, or do I switch to left endpoints to have my rectangles stay over the graph?

http://img521.imageshack.us/img521/22/bb2by3.png [Broken] <--I forgot to put on there that this curve = f(x)

This problem states... for each quantity in questions a-d, copy the diagram and show the quantity on the diagram. Explain what the expression means in terms of the graph. Note that F'(x) = f(x).

For example if the question showed the quantity square root of (b-a)^2 + (f(b)-f(a))^2 then you would explain that this is the distance on PQ and you would draw a line segment PQ on the diagram.

a) f(b)-f(a)

b) f(b)-f(a)/b-a

c) F(b) - F(a)

d) F(b) - F(a)/b-a

I have no idea how to start this.. b and d both seem like slope equations to me, but I don't know the difference.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Area and fundamental theorem

**Physics Forums | Science Articles, Homework Help, Discussion**