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
Please answer question b it’s to find the indefinite integral that I have attached as a photo. I have also attached the formula you must use to solve this, formula 21, as the other picture. Thank you
Transcribed Image Text:7
In (x) dx
2XUSE FORMULA ZI
x² _16
Answer : C +ē h-
X -4
ht4
You mst
fermla 21
Use
![a+ bu
du =
(a + bu)3/2
1)L
- 1
18.
u"
a(n -
2
2(2a- bu)
3b
19.
du
a+ bu
Ja + bu + C
u"-
20.
du =
u" Ja + bu – na
a+ bu
(2n + 1)b
a + bu
Forms Involving u2 - a2, a > 0
u - a
In
2a
21.
du, = -
a?
du
u?
+ C
%3!
u + a
- 1
1
22.
(2 – a²)"
du =
2a (n
1) L(u – ay-1
+ (2n -3)
(u - ay-
du
1-1
n # 1
Forms Involving Ju? + a, a > o
± a du = (u/u ± a² ± a° In\u + Ju ± a*\) + C
23.
Jưta du =
+ a²) /u ± a - d* In|u + Ju ± a]+c
24.
du = + a² - a la + /r* + a .
Ju + a - a ln
25.
+ C
26.
+ Inlu +
+ C
du =
27.
du
Inlu + Ju t a+ C
a+Ju + a²
In
+ C
28.
du](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1bf8ae83-2003-4837-b9fe-b672e6e8d8b8%2F95a2da88-9f58-4cd4-9c9b-36a5ccd7256b%2Fi4vqcch_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a+ bu
du =
(a + bu)3/2
1)L
- 1
18.
u"
a(n -
2
2(2a- bu)
3b
19.
du
a+ bu
Ja + bu + C
u"-
20.
du =
u" Ja + bu – na
a+ bu
(2n + 1)b
a + bu
Forms Involving u2 - a2, a > 0
u - a
In
2a
21.
du, = -
a?
du
u?
+ C
%3!
u + a
- 1
1
22.
(2 – a²)"
du =
2a (n
1) L(u – ay-1
+ (2n -3)
(u - ay-
du
1-1
n # 1
Forms Involving Ju? + a, a > o
± a du = (u/u ± a² ± a° In\u + Ju ± a*\) + C
23.
Jưta du =
+ a²) /u ± a - d* In|u + Ju ± a]+c
24.
du = + a² - a la + /r* + a .
Ju + a - a ln
25.
+ C
26.
+ Inlu +
+ C
du =
27.
du
Inlu + Ju t a+ C
a+Ju + a²
In
+ C
28.
du
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