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9:39
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Example arc length computation with calculus
In this video, we compute the arc length of a parametric curve where x(t) =t^4/16 +1/(2t^2) and y(t) = t, from t = 1 to t = 3. We start by differentiating the x- and y-coordinates with respect to t, squaring the results, adding them, and simplifying the expression. Through careful factoring and simplification, we avoid unnecessary extra work ...
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