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Math 116, Homework 1
Jeff Mermin’s sections
For each of the regions described below, do the following:
•Approximate the region with rectangles, and identify the coordinates of
opposite corners of each rectangle. Use at least four rectangles for each
region.
•Approximate the area of the region by computing the areas of your rect-
angles. DO NOT use integral calculus to get an exact answer.
The first problem is done for you.
1. The area under the curve y=x, from x= 0 to x= 1.
2. The area under the curve y= 1, from x= 0 to x= 4.
3. The area under the curve y=x2+ 1, from x=−2 to x= 2.
