The width of each rectangle is . The heights of the rectangles are found by evaluating y = 4 − x^2 at the
appropriate endpoints.
, (4 − (0)^2 ), (4 − (0)^2 ), and These can be simplified to , 4, 4, and . Therefore, the area is
+ (4) + (4) + =
PROBLEM 3. Find the area under the curve y = 4 − x^2 from x = −1 to x = 1 using the Trapezoid Rule with n
= 4.
Answer: Draw four trapezoids that look like the following: