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Can someone solve/explain this? I thought I was understanding this, but I think I've confused
myself.
A. Find the length of the curve and the area under the curve where x=0, x=2pi, y=0, y=sin2x+2.
B. What if y=sin10x +2? What is the pattern about the length and/or area? (Sketch the graph)
Solution
A. here the function sin(2x) 2 always lies above x-axis(y=0). So we can directly
integrate from x=0 to x=2pi. integral of sin(2x) in the given range is 0. So the area under the
curve is 2*(2pi-0)= 4*pi

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