Quiz 3 Name:
Math 141
February 5th, 2024 psu id email:
Show all of your work. Correct answers without proper supporting work will receive no credit.
Write your answer to each question in the boxes provided. Good luck!
You may find the following identities useful:
1 cos(2x) cos(↵ ) cos(↵ + )
cos2 x = + cos ↵ cos = +
2 2 2 2
1 cos(2x) cos(↵ ) cos(↵ + )
sin2 x = sin ↵ sin =
2 2 2 2
sin(↵ ) sin(↵ + )
sin(2x) = 2 sin x cos x sin ↵ cos = +
2 2
Z
1. Evaluate cos3 x sin4 x dx.
Answer:
This study source was downloaded by 100000899610689 from CourseHero.com on 09-24-2025 09:15:17 GMT -05:00
https://www.coursehero.com/file/230224270/Quiz-3-Solutionspdf/
Math 141
February 5th, 2024 psu id email:
Show all of your work. Correct answers without proper supporting work will receive no credit.
Write your answer to each question in the boxes provided. Good luck!
You may find the following identities useful:
1 cos(2x) cos(↵ ) cos(↵ + )
cos2 x = + cos ↵ cos = +
2 2 2 2
1 cos(2x) cos(↵ ) cos(↵ + )
sin2 x = sin ↵ sin =
2 2 2 2
sin(↵ ) sin(↵ + )
sin(2x) = 2 sin x cos x sin ↵ cos = +
2 2
Z
1. Evaluate cos3 x sin4 x dx.
Answer:
This study source was downloaded by 100000899610689 from CourseHero.com on 09-24-2025 09:15:17 GMT -05:00
https://www.coursehero.com/file/230224270/Quiz-3-Solutionspdf/
