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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Question
which formula can be applied to ∫ xdx/ (5+7x)^2
Transcribed Image Text:+ C, n # -1
+ C
n +1
Forms Involving a + bu
1
3.
a + bu
- a In|a + bu|) + C
+ Inļa +
bul) + 0
du =
4.
(a + bu)?
du =
12
b\a + bu
-1
a
5.
(a + bu)"
du =
b-L(n
(n – 1)(a + bu)*-i
+ C, n+ 1, 2
2)(a + bu)" -2
bu
(2a
2
bu) + a Inļa + bu|| + C
du =
6.
a + bu
u?
a?
7.
(a + bu)?
2a Inja + bu| + C
du =
a + bu
a
2(a + bu)?
u?
2a
8.
(a + bu)
du =
b'a + bu
+ In|a + bu|| + C
-1
2a
a
9.
(a + bu)"
+ C, n+ 1, 2, 3
du =
3)(a + bu)"-3
(n – 2)(a + bu)" -
1)(a + bu)"-1
(n -
1
du =
uda + bu)
In
la + bu
1.
ula + bu)?
+ C
du =
-In
la + bu
10.
+
a
ala + bu
a
a + 2bu
a ula + bu)
1
b
In
a + bu
2b
In
a + bu
12.
u(a
+ C
+ C
13.
du = --
+ bu)
u(a +
du = -
bu)²
a\u
a
a
Forms Involving a + bu + cu², b² # 4ac
2
2си + b
+ C,
4ac - b
b2 < 4ac
arctan
4ас -
du
14.
a + bu + cu²'
|2cu + b
In
2cu + b + b2
- 4ac
+ C, b > 4ac
4ac
4ac
1
15.
du =
(inja + bu + cu?| - ь
du
a + bu + cu?
a + bu + cu?
20
Forms Involving Va + bu
2
16.
du D
u"(a + bu)/2
- nd
b(2n + 3)
1
|Va + bu – Ja|
In
+ C, a> 0
Va + bu + Jal
Ja
1
17.
du =
a + bu
la + bu
arctan
+ C, a <0
-a
-1
Ja + bu
(2л — 3)b
18.
du =
u" Ja + bu
1)|
du
a+ bu
n+ 1
a(n
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