Lengths of symmetric curves Suppose a curve is described
Chapter 6, Problem 40(choose chapter or problem)
Lengths of symmetric curves Suppose a curve is described by y = f 1x2 on the interval 3-b, b4, where f _ is continuous on 3-b, b4. Show that if f is symmetric about the origin ( f is odd) or f is symmetric about the y-axis ( f is even), then the length of the curve y = f 1x2 from x = -b to x = b is twice the length of the curve from x = 0 to x = b. Use a geometric argument and prove it using integration.
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