Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §8.2 Length of a Plane Curve, #34 · Calculus · Applications of integrals

(for professors) Compare the lengths of the parabola … and the line…

(for professors) Compare the lengths of the parabola $y = x^{2}$ and the line $y = b x$ from $(0, 0)$ to $(b, b^{2})$ . Does the difference approach a limit as $b \to \infty$ ?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §8.2 Length of a Plane Curve, #34

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