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Exercises

Page (4 of 4) Exercises:   1    2    3    4  

Exercise 4

Write an integral expression for the length of the parametric curve

x = t cos t

y = t sin t

for α ≤ t ≤ β. Use the equality sin2 t + cos2 t = 1 to simplify your expression. (It will still be an integral.)

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