Home / area under the curve formula / The area under a curve

# The area under a curve - area under the curve formula The area under a curve
(1) If someone asks you for the rate under this curve over [a, b] then what region are they
ab
(2) Sketch the region underneath the curve y = x2/4 over [0, 4]. Estimate the area
underneath using the grid provided. (each small square is a 1 ? 1 square.)
(3) By breaking the interval [0, 4] at 1, 2, 3 draw four rectangles which overestimate the
area. Do so by maximizing f (x) = x2/4 over each small interval. To the right find
an underestimate by minimizing over each interval.
What is the total area of these rectangles?
(4) The result of the previous problem gives us an overestimate and an underestimate for
the area under the curve.
< AREA

#### Pdf INFO

Creator: TeX
Producer: pdfTeX-1.40.14
CreationDate: Thu Apr 7 10:32:38 2016
ModDate: Thu Apr 7 10:32:38 2016
Tagged: no
Form: none
Pages: 6
Encrypted: no
Page size: 612 x 792 pts (letter) (rotated 0 degrees)
File size: 95298 bytes
Optimized: no