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Math
Calculus
4. sin 2x cos 2x dx

4. sin 2x cos 2x dx

Algebra & Trigonometry with Analytic Geometry
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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Question
### Powers of Sines and Cosines Evaluate the integrals in Exercises 1–22.
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.
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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