The width of each rectangle is . The heights of the rectangles are found by evaluating y = 4 − x^2 at the
appropriate endpoints.
(4 − (−1)^2 ), , , and (4 − (−1)^2 )These can be simplified to 3, , , and 3. Therefore, the area is
(3) + + + (3) =
PROBLEM 2. Find the area under the curve y = 4 − x^2 from x = −1 to x = 1 with n = 4 circumscribed
rectangles.
Answer: Draw four rectangles that look like the following: