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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q3
![Question 003: Complete the following question involving Substitution Method.
Given the integral
( sin(3x + 5)
dx
cos(3x + 5)
Use the technique that we went over in class to find "u", "u'", and "dx".
u = 3x + 5
u' = 3
dx =
du
u = cos(3x + 5)
u' = -3sin(3x + 5)
%3D
dx
-3sin(3x + 5)
du
u = cos(3x + 5)
u' = -sin(3x + 5)
1.
du
dx =
-sin(3x + 5)
u= 3x
3
=-x2
2
du
dx =
3x2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5fb70c41-70d6-403f-bf52-206c7d2ae5ac%2Fb0641b45-ccc7-441f-adc1-72a2485578bc%2Flip6jns_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 003: Complete the following question involving Substitution Method.
Given the integral
( sin(3x + 5)
dx
cos(3x + 5)
Use the technique that we went over in class to find "u", "u'", and "dx".
u = 3x + 5
u' = 3
dx =
du
u = cos(3x + 5)
u' = -3sin(3x + 5)
%3D
dx
-3sin(3x + 5)
du
u = cos(3x + 5)
u' = -sin(3x + 5)
1.
du
dx =
-sin(3x + 5)
u= 3x
3
=-x2
2
du
dx =
3x2
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