Homework Help is Here – Start Your Trial Now!
Math
Calculus
Question 007: Complete the following question involving Trigonometric Integrals Given the following integral of a trigonometric function raised to an odd power Ssin 5(4x) dx and its substitution information sin (4x) sin(4x) - [1 - cos2(4x3)] cos(4x) u' -4sin(4x) dx dx -4 sin(4x) and its simplified form Scos (9x) dk- S(1 - u2]2 du 4 Find the integral and plug back in all of the necessary trig functions. 1 cos(4x) + cos?(4x) - cos (4x) + C 20 -1 1 O -1 1 cos(4x) - 12 1 +. cos(4x)-금cos3(4x) +C 4 4 cos(4x) - cos?(4x) + cos (4x) + C 1 -cos (4x) + C 20 cos(4x) -

Question 007: Complete the following question involving Trigonometric Integrals Given the following integral of a trigonometric function raised to an odd power Ssin 5(4x) dx and its substitution information sin (4x) sin(4x) - [1 - cos2(4x3)] cos(4x) u' -4sin(4x) dx dx -4 sin(4x) and its simplified form Scos (9x) dk- S(1 - u2]2 du 4 Find the integral and plug back in all of the necessary trig functions. 1 cos(4x) + cos?(4x) - cos (4x) + C 20 -1 1 O -1 1 cos(4x) - 12 1 +. cos(4x)-금cos3(4x) +C 4 4 cos(4x) - cos?(4x) + cos (4x) + C 1 -cos (4x) + C 20 cos(4x) -

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 65E
See similar textbooks
icon
Related questions
Topic Video
Question

q7

Question 007: Complete the following question involving Trigonometric Integrals Given the following integral of a trigonometric function raised to an odd power S sin 5(4x) dx and its substitution information sin (4x) [1- cos2(+x)]2 sin(4x) * cos(4x) u' -4sin(4x) dx dx -4 sin(4x) and its simplified form -1 J cos(9x) dx: du Find the integral and plug back in all of the necessary trig functions. O -1 1 -cos(4x) + cos(4x) - cos (4x) + C 4 20 O -1 1 cos(4x) - cos?(4x) + C 12 cos?(ax) + cos (4x) + c 2 cos?(4x) 1 cos(4x) - 1 cos(4x) - 20 cos (4x) + C
Transcribed Image Text:Question 007: Complete the following question involving Trigonometric Integrals Given the following integral of a trigonometric function raised to an odd power S sin 5(4x) dx and its substitution information sin (4x) [1- cos2(+x)]2 sin(4x) * cos(4x) u' -4sin(4x) dx dx -4 sin(4x) and its simplified form -1 J cos(9x) dx: du Find the integral and plug back in all of the necessary trig functions. O -1 1 -cos(4x) + cos(4x) - cos (4x) + C 4 20 O -1 1 cos(4x) - cos?(4x) + C 12 cos?(ax) + cos (4x) + c 2 cos?(4x) 1 cos(4x) - 1 cos(4x) - 20 cos (4x) + C
Expert Solution
Step 1

For solving this integral, we have to make use of some substitution and we will also use the trigonometric identity 

cos2(x)+sin2(x)=1

 

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Quadrilaterals
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
SEE MORE TEXTBOOKS