Worked example: arc length (video)
Expert Answer Transcribed image text: Find the length of the curve over the given interval. r = 4a cos theta - pi/2 lessthanorequalto theta lessthanorequalto pi/2 Previous question Next
It’s important to keep them in mind when trying to figure out how to Find the length of the curve over the given interval.
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Darrel Peeples
How do you find the length of the curve y = x5 6 + 1 10x3 between 1 ≤ x ≤ 2 ? We can find the arc length to be 1261 240 by the integral L = ∫ 2 1 √1 + ( dy dx)2 dx Let us look at some details. By
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The formula for calculating the length of a curve is given as: L = ∫ a b 1 + ( d y d x) 2 d x Where L is the length of the function y = f (x) on the x interval [a, b] and is the derivative of the function y =