Given the integral sin(3x + 5) dx cos(3x + 5)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 19E
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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
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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