2. a. Use a computer algebra system to evaluate the following integrals. fsi i. sin x cos 2x dx ii. if sin 3x cos 7x da i sin 8x cos 3x dr b. Based on the pattern of your responses in part (a), guess the value of the integral

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Please use a online mathematica website, like wolfram cloud

2.
a. Use a computer algebra system to evaluate the following integrals.
sin a cos 2x dz
i.
ii. sin 3x cos 7x da
iii.
if sin
sin 8x cos 3x dx
b. Based on the pattern of your responses in part (a), guess the value of the
integral
ngage.com/static/nb/ui/evo/index.html?eISBN=9781337687737&id=339467405&snapshotld-877446&dockAppUid=101&nbld=877446&
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sin a
ax cosbx dx
c. Check your guess with a CAS. Then prove it by differentiation. For what values
of a and b is it valid?
1/3
Transcribed Image Text:2. a. Use a computer algebra system to evaluate the following integrals. sin a cos 2x dz i. ii. sin 3x cos 7x da iii. if sin sin 8x cos 3x dx b. Based on the pattern of your responses in part (a), guess the value of the integral ngage.com/static/nb/ui/evo/index.html?eISBN=9781337687737&id=339467405&snapshotld-877446&dockAppUid=101&nbld=877446& Print Preview sin a ax cosbx dx c. Check your guess with a CAS. Then prove it by differentiation. For what values of a and b is it valid? 1/3
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