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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, #23 · Calculus · Integrals

The average of … on the interval … approaches ______ as

The average of $v (x) = 1/ (1 + x^{2})$ on the interval $[0, b]$ approaches ______ as $b \to \infty$ . The average of $V (x) = x^{2} / (1 + x^{2})$ approaches ______.

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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, #23

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