Let R be the region enclosed by the curve r(t) = 27. Find the area of R. = (5 cos t, - sint + cos(4t)) for 0 ≤ t ≤ You may find the following trigonometric identity helpful: infla in (m (a)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.4: The Fundamental Theorem Of Calculus
Problem 6YT: YOUR TURN Find the area under the curve y=sec2(x/3) between x= and x=.
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3. Let R be the region enclosed by the curve r(t) = (5 cost, - sint + cos(4t)) for 0 ≤ t ≤
27. Find the area of R.
A
You may find the following trigonometric identity helpful:
sin (mx) cos(nx) =
=
sin((mn)x)+sin((m + n)x)
2
Transcribed Image Text:3. Let R be the region enclosed by the curve r(t) = (5 cost, - sint + cos(4t)) for 0 ≤ t ≤ 27. Find the area of R. A You may find the following trigonometric identity helpful: sin (mx) cos(nx) = = sin((mn)x)+sin((m + n)x) 2
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