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...
Related questions
Question
62. answer question 1 only do like this example
![Example 8:
Solution:
Find x²√4 + x dx
Let u
4 + X
du
dx
U-4
(u - 4)²
u² 8u + 16
(u² - 8u + 16) u du
(u - 8u³ + 16u³) du
8u5/2 16u¹2
+
+ C
Sx²√4 + x dx
Example 9:
Solution:
Find
Let u
xx
X
X
x²
X
=
=
11
11
11
du = dx
=
=
X =
X =
uz
7
2
2²/(4 + x)²/2² -
dx
=
x² + 1
12:1
T
NIGE
NIWE
x - 1
u + 1
(u + 1)²
u² + 2u + 1
2, u =
5,
U
= 1
11
2-1
LO
16
5
4 +
x ³² +33 (4 + x)² + 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe78b7236-539d-4269-b9fb-79b7cb15e732%2F8b5c77de-d199-4341-bec9-d4b3a7d2e88b%2Fakhv1w_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Example 8:
Solution:
Find x²√4 + x dx
Let u
4 + X
du
dx
U-4
(u - 4)²
u² 8u + 16
(u² - 8u + 16) u du
(u - 8u³ + 16u³) du
8u5/2 16u¹2
+
+ C
Sx²√4 + x dx
Example 9:
Solution:
Find
Let u
xx
X
X
x²
X
=
=
11
11
11
du = dx
=
=
X =
X =
uz
7
2
2²/(4 + x)²/2² -
dx
=
x² + 1
12:1
T
NIGE
NIWE
x - 1
u + 1
(u + 1)²
u² + 2u + 1
2, u =
5,
U
= 1
11
2-1
LO
16
5
4 +
x ³² +33 (4 + x)² + 0
![TUTORIAL 62
1. Find
Find f 2x² (6 + xy dx
Use an appropriate substitution to find √√x + 3 dx
2.
= 2x - 1 as a substitution to solve the integral x
3. Use u² =
2
4. Using suitable substitution, evaluate
SVETO
dx
X² + 1
5. By using an appropriate substitution, evaluate
Answers:
(1.) 16 + X²) - (6 + x² ) + 0
(6
C
7
5/2
3/2
C
(x² + 1)²-(x² + 3)² + c
2.
5
3/2
5/12
-
(2x - 1)^² + (2x − 1)² + c
C
3.
6
10
4.
19.7125
1
1 -
1 + In 2
5.
परेक
x(1 + In](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe78b7236-539d-4269-b9fb-79b7cb15e732%2F8b5c77de-d199-4341-bec9-d4b3a7d2e88b%2Fcvbnu4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:TUTORIAL 62
1. Find
Find f 2x² (6 + xy dx
Use an appropriate substitution to find √√x + 3 dx
2.
= 2x - 1 as a substitution to solve the integral x
3. Use u² =
2
4. Using suitable substitution, evaluate
SVETO
dx
X² + 1
5. By using an appropriate substitution, evaluate
Answers:
(1.) 16 + X²) - (6 + x² ) + 0
(6
C
7
5/2
3/2
C
(x² + 1)²-(x² + 3)² + c
2.
5
3/2
5/12
-
(2x - 1)^² + (2x − 1)² + c
C
3.
6
10
4.
19.7125
1
1 -
1 + In 2
5.
परेक
x(1 + In
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