3. [Straifgtforward] Find the area enclosed by the two curves: y = sin(Tx/2); Hint: Where do these two curves intersect? (Somewhat tricky; make sure to find all three intersections.) Hint: Sketch the region of interest... Hint: Is there an obvious symmetry? Simplify the region of integration. x = sin(7y/2).

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
Section7.5: The Area Between Two Curves
Problem 25E: Find the area between the curves in Exercises 1-28. x=0, x=4, y=cosx, y=sinx
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I found the intersections which are -1, 0 and 1. There is also an obvious symmetry in the graph. How do I find the area enclosed tho? Is it one of the Type I / Type II Regions?

3. [Straifgtforward]
Find the area enclosed by the two curves:
y = sin(x/2);
Hint: Where do these two curves intersect?
(Somewhat tricky; make sure to find all three intersections.)
Hint: Sketch the region of interest...
Hint: Is there an obvious symmetry? Simplify the region of integration.
X = sin(Ty/2).
Transcribed Image Text:3. [Straifgtforward] Find the area enclosed by the two curves: y = sin(x/2); Hint: Where do these two curves intersect? (Somewhat tricky; make sure to find all three intersections.) Hint: Sketch the region of interest... Hint: Is there an obvious symmetry? Simplify the region of integration. X = sin(Ty/2).
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