Number
Question
Answer
See the work
1.
Consider the integral

(a) Find the Riemann sum for this integral using right
endpoints and n=3.
=
(b) Find the Riemann sum for this same integral, using left endpoints and
n=3.
= A) 1438
B) 814 The work Point Cost: 3
2.
Consider the integral

(a) Find the Riemann sum for this integral using right
endpoints and n=4.
(b) Find the Riemann sum for this same integral, using left endpoints and
n=4
A) 52.72
B) 58.057 The work Point Cost: 3
3.
The following sum

is a right Riemann sum for a certain definite integral
using a partition of the interval [1,b] into n subintervals of equal length.
Then the upper limit of integration must be: b =
and the integrand must be the function f (x) = b = 4
f (x) = see the work The work Point Cost: 3
4.
Evaluate the definite integral by interpreting it in terms of areas.

30 The work Point Cost: 3
5.
Evaluate the integral below

Do this in terms of areas.
Draw a picture of the region the integral
covers, and find the area using geometry.
1.571 The work Point Cost: 2
6.
Evaluate the integral below

Do this in terms of areas.
Draw a picture of the region the integral
covers, and find the area using geometry. 25 The work Point Cost: 2
7.
Evaluate the integral by interpreting it in terms of areas:

15 The work Point Cost: 3
8.
where a =
and b = a = see the work
b = see the work The work Point Cost: 1
9.
Let .
Find
and
-4
58
The work Point Cost: 3
10.
Given that

for

, use
given comparison property to estimate the
value of

105 150
The work Point Cost: 3
11.
Use the Midpoint Rule to approximate the integral
with n=3.
-1395.6574
The work Point Cost: 3
12.
Use the Midpoint Rule to approximate
with n=5.
35
The work Point Cost: 3