Integration, Differential Equations and Approximation
MATH 122

Fall 2008
Math 122
Fall 2008
Solutions to Homework #1
Problems from Pages 299300 (Section 5.5)
14.
Let u = x2 + 1 so that du = 2xdx and the indefinite integral can be evaluated via
substitution as follows.
"(
18.
#2 1
2
du = #1 u#1 + C =
2
#1
+C.
2( x 2 + 1)
1
3
3
Integration, Differential Equations and Approximation
MATH 122

Spring 2010
21122 Integration, Differential Equations, and Approximation
Review problems for Test 1: February 12, 2010
Test 1 objectives:
Determine an antiderivative or evaluate a definite integral using trigonometric substitution or integration by partial fraction
Integration, Differential Equations and Approximation
MATH 122

Spring 2010
21122 Integration, Differential Equations, and Approximation
Review problems for the Final
Monday, May 11, 2010, 8:3011:30 McConomy Auditorium
Their will be a review Saturday, May 8 from 1:00 to 3:00 in PH 100.
21123 students will have a special versio
Integration, Differential Equations and Approximation
MATH 122

Fall 2008
Math 122
Fall 2008
Solutions to Homework Assignment #7
1.
To verify that the given function is a solution of the given differential equation, it
is sufficient to plug the given function into the left hand side of the differential
equation and show that th
Integration, Differential Equations and Approximation
MATH 122

Fall 2008
Math 122
Fall 2008
Solutions to Homework #5
Problems from Pages 383384 (Section 7.4)
6.
The curve in this problem is defined by the equation:
x 2 ln( x )
y=
"
2
4
and we are interested in the part of the curve between x = 2 and x = 4. The
derivative is g
Integration, Differential Equations and Approximation
MATH 122

Fall 2008
1
MATH 122 FINAL EXAM
Friday, December 12, 2008.
NAME:
Sona
Akopian
Brian
Seguin
Paul
McKenney
Oleksii
Mostovyi
Jason
Rute
Lisa
Espig
A
B
C
D
E
F
G
H
I
J
K
Instructions:
1.
2.
3.
4.
5.
6.
7.
Do not separate the pages of the exam.
Please read the instructi
Integration, Differential Equations and Approximation
MATH 122

Fall 2008
Math 122 Solutions to Homework #2 Problems from Pages 319320 (Section 6.2) 2.
Fall 2008
Here we will rewrite cos2(x) as 1  sin2(x) to put express the integrand as a polynomial in sin(x) with a single factor of cos(x) remaining.
" sin ( x ) cos ( x )dx =
Integration, Differential Equations and Approximation
MATH 122

Fall 2008
Math 122
Fall 2008
Solutions to Homework #3
Problems from Pages 343345 (Section 6.5)
2.(a)
The graph of y = f(x) given on page 343 shows that between x = 0 and x = 2, the
function is decreasing and concave up. Under these circumstances,
Right Riemann Mid
21122 Integration & Approximation  Spring, 2017
Weeks 1 3:
Chapter 8  Applications of Integration
January 15 February 5:
8.1 Arc Length
8.2 Area of a Surface of Revolution
8.3 Applications to Physics and Engineering
8.4 Applications to Economics and Bi