Student’s Name:
MAC231117, Review Set for Chapter 5
5.1
: 4, 5, 7
4) The area
A
of the region
S
that lies under the graph of the continuous function
is the limit of the sum of the areas of approximating rectangles.
Use this definition to find an expression for the area under the graph of
f
as a
limit. Do not evaluate the limit.
5) The area
A
of the region
S
that lies under the graph of the continuous function
is the limit of the sum of the areas of approximating rectangles.
Use this definition to find an expression for the area under the graph of
f
as a
limit. Do not evaluate the limit.
7) The area
A
of the region
S
that lies under the graph of the continuous function
is the limit of the sum of the areas of approximating rectangles:
(a) Use this definition to find an expression for the area under the curve
y
=
x
3
from 0 to
1
as a limit.
(b) Use the following formula for the sum of the cubes of the first integers
to evaluate the limit in part (a).
Page
1 of 5
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentStudent’s Name:
MAC231117, Review Set for Chapter 5
5.2
: 4, 6, 7, 8, 13, 16
4)
Express the integral as a limit of Riemann sums. Do not evaluate the limit.
This is the end of the preview. Sign up
to
access the rest of the document.
 Fall '08
 Noohi
 Calculus, Angles

Click to edit the document details