# Math Help - Finding Upper and Lower Bounds

1. ## Finding Upper and Lower Bounds

Hi Everyone,

I"m stuck on this question in my calculus book, and am wondering how I should approach it. Here is the question

Find a lower and upper bound for the area under the curve of over the interval [4, 7] by computing two different Riemann sums - one at the left endpoint and the other at the right endpoint - and by
dividing your interval into 3 sub-intervals.

Would this just be calculating F(x) and solding F(7) and F(8)?

THanks a lot!

2. No, it has asked you to create $\displaystyle 3$ subdivisions along your $\displaystyle x$ axis and use these to create rectangles of width $\displaystyle f(x)$ along the left end points, and then the right end points. When you sum the areas, you will get an upper bound and a lower bound for the area under the graph.