2. a. Use a computer algebra system to evaluate the following integrals. i. sin z cos 2x dx ii. sin 3x cos 7x dx ii. sin 8x cos 3x dx b. Based on the pattern of your responses in part (a), guess the value of the integral https://ng.cengage.com/static/nb/ui/evo/index.html?EISBN=9781337687737&id=339467405&snapshotld=877446&dockAppUid=101&nbld=877446& 1/3 7/21/2021 Print Preview sin ax cos bx dã c. Check your guess with a CAS. Then prove it by differentiation. For what values of a and b is it valid?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 37E
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2.
a. Use a computer algebra system to evaluate the following integrals.
i.
sin x cos 2x dx
i.
sin 3x cos 7x dx
iii.
sin 8x cos 3x dx
b. Based on the pattern of your responses in part (a), guess the value of the
integral
https://ng.cengage.com/static/nb/ui/evo/index.html?elSBN=9781337687737&id=339467405&snapshotld=877446&dockAppUid=D101&nbld%3D877446&
1/3
7/21/2021
Print Preview
sin ax cos b dx
c. Check your guess with a CAS. Then prove it by differentiation. For what values
of a and b is it valid?
Transcribed Image Text:2. a. Use a computer algebra system to evaluate the following integrals. i. sin x cos 2x dx i. sin 3x cos 7x dx iii. sin 8x cos 3x dx b. Based on the pattern of your responses in part (a), guess the value of the integral https://ng.cengage.com/static/nb/ui/evo/index.html?elSBN=9781337687737&id=339467405&snapshotld=877446&dockAppUid=D101&nbld%3D877446& 1/3 7/21/2021 Print Preview sin ax cos b dx c. Check your guess with a CAS. Then prove it by differentiation. For what values of a and b is it valid?
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