ex dx= (4+ e*) (4+2e*)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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6.4.47
Question H
Use substitution techniques and a table of integrals to find the indefinite integral.
ex
A Brief Table of Integrals
xp-
Click the icon to view a brief table of
for each integral, but must be included in any particular application of a formula.
ex
You ca
la+ /a? -u?
u
(4+ ex) (4+2e*) dx =
u
du =
a + bu
a
In a+ bu
b2
du = -
In
a
uva? -u?
u2
(a + bu)?
du =
a+ bu
2a(a + bu) a?
b3
2b3
In la + bu
du = In u+ v
1. Ent
Vu? - a?
u?
a + bu
* You
= np.
b3
2a
In a+ bu
u" e au
(a + bu)
b (a + bu) b3
un e au du =
- 1
e audu
a
1
1.
c+ du
1
B
J (a + bu)(c + du) du =
In
ad - bc
a+ bu
ac In lc+de au
du =
C+dea
Enter your answer in the answer box a
a+ bu
bu
ad - bc
C+ du du =
d
In c+ dul,
un +1
In u du =
n+1
Ente
un+1
In u-
(n+ 1)2
All parts showing
Transcribed Image Text:6.4.47 Question H Use substitution techniques and a table of integrals to find the indefinite integral. ex A Brief Table of Integrals xp- Click the icon to view a brief table of for each integral, but must be included in any particular application of a formula. ex You ca la+ /a? -u? u (4+ ex) (4+2e*) dx = u du = a + bu a In a+ bu b2 du = - In a uva? -u? u2 (a + bu)? du = a+ bu 2a(a + bu) a? b3 2b3 In la + bu du = In u+ v 1. Ent Vu? - a? u? a + bu * You = np. b3 2a In a+ bu u" e au (a + bu) b (a + bu) b3 un e au du = - 1 e audu a 1 1. c+ du 1 B J (a + bu)(c + du) du = In ad - bc a+ bu ac In lc+de au du = C+dea Enter your answer in the answer box a a+ bu bu ad - bc C+ du du = d In c+ dul, un +1 In u du = n+1 Ente un+1 In u- (n+ 1)2 All parts showing
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