Given the following integral of a trigonometric function raised to an odd power Scos(2x) dx Use the formulas discussed in the lecture to convert the trigonometric function into the correct form. cos (2:) cos(29 - [1 - sin?(2»)]5 sin(2x) 2cos(2x) 2cos(2x) dx dx cos(2x) con(2) - [1 - sin2(2x)] ² sin(2) Acos(2x) dx tcos(2x) dx cos(2:) cos(2) - [1 - sin?(2x)] sin(2x) 2cos(2x) 2cos(2x) dx cas (2:) cos(29 - [1 - sin2(2x)] sin(2x) 2cos(2x) dx 2cos(2x) dx

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 65E
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Question 003: Complete the following question involving Trigonometric Integrals
Given the following integral of a trigonometric function raised to an odd power
Scos(2x) dx
Use the formulas discussed in the lecture to convert the trigonometric function into the correct form.
cas (2x)
cos(2) » [1 - sin2(2x)]
sin(2x)
2cos(2x)
1
Zcos(25) de
dx
cos(2) - [1 - sin2(2x)]
cas
sin (2x)
u'
4cos(2x)
dx
tcos(2x)
dx
(2)
cos(2x) *
[1-sin2(2x)]
cas
sin(2x)
u'
2cos(2x)
1
dx
2cos(2x)
dx
cos(2) - [1 - sin2(2x)]
cas
sin(2x)
u'
2cos(2x)
1
dx
2cos(2x)
dx
Transcribed Image Text:Question 003: Complete the following question involving Trigonometric Integrals Given the following integral of a trigonometric function raised to an odd power Scos(2x) dx Use the formulas discussed in the lecture to convert the trigonometric function into the correct form. cas (2x) cos(2) » [1 - sin2(2x)] sin(2x) 2cos(2x) 1 Zcos(25) de dx cos(2) - [1 - sin2(2x)] cas sin (2x) u' 4cos(2x) dx tcos(2x) dx (2) cos(2x) * [1-sin2(2x)] cas sin(2x) u' 2cos(2x) 1 dx 2cos(2x) dx cos(2) - [1 - sin2(2x)] cas sin(2x) u' 2cos(2x) 1 dx 2cos(2x) dx
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ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage