Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 41E
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Transcribed Image Text:### Powers of Sines and Cosines
Evaluate the integrals in Exercises 1–22.
![4. \[ \int \sin^4(2x) \cos(2x) \, dx \]
In this integral, we are tasked with finding the antiderivative of the function \( \sin^4(2x) \cos(2x) \) with respect to \( x \). This involves integrating the given trigonometric function, which incorporates both sine and cosine functions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf95109c-869d-4f91-a635-386ab8bbffdb%2Fb9b70012-08e7-41cf-bc7c-4214f6208f30%2Fcbynd5r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. \[ \int \sin^4(2x) \cos(2x) \, dx \]
In this integral, we are tasked with finding the antiderivative of the function \( \sin^4(2x) \cos(2x) \) with respect to \( x \). This involves integrating the given trigonometric function, which incorporates both sine and cosine functions.
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