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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §5.6 Properties of the Integral and Average Value, #28 · Calculus · Integrals

A point … is chosen randomly between … and 1

A point $Q$ is chosen randomly between $- 1$ and 1.
(a) What is the average distance $Y$ up to the semicircle?
(b) Why is this different from Problem 27?

This exercise builds on another exercise in its source book, which isn't shown here.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §5.6 Properties of the Integral and Average Value, #28

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