Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §8.2 Length of a Plane Curve, #33 · Calculus · Applications of integrals

Write down the integral for the length … of … from …

Write down the integral for the length $L$ of $y = x^{2}$ from $(0, 0)$ to $(1, 1)$ . Show that $y = \frac{1}{2} x^{2}$ from $(0, 0)$ to $(2, 2)$ is exactly twice as long. If possible give a reason using the graphs.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §8.2 Length of a Plane Curve, #33

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