Question: An ellipse has parametric equations x = cos t, y = 1/2 3 sin t. Show that the length of its circumference is given by

An ellipse has parametric equations x = cos t, y = 1/2 √3 sin t. Show that the length of its circumference is given by

p/2 25" (3 + sint)dt 0

This integral cannot be evaluated in terms of elementary functions. Use the trapezium rule with interval-halving to evaluate it to 6dp.

p/2 25" (3 + sint)dt 0

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