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Single-variable function

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A robot is guided towards an object by a software algorithm that controls its position such that the path of the robot is approximately sinusoidal, with a period 2, as shown in Figure B4 (attached).

(a) Show that the length l of any single-variable function f(x), between the limits of x=a and b, can be expressed by the following integral (attached)

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This solution involves how to show that the length l of any single-variable function f(x), between the limits of x=a and b, can be expressed by the given integral.

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