Question

Calculate the average of $f(x) = \frac{12 \sin(\frac{\pi}{x})}{x^2}$ over the interval $[1, 2]$. (Use decimal notation. Give your answer to three decimal places.) average value:

          Calculate the average of $f(x) = \frac{12 \sin(\frac{\pi}{x})}{x^2}$ over the interval $[1, 2]$.
(Use decimal notation. Give your answer to three decimal places.)
average value:

Calculate the average of f(x) = (12 sin((π)/(x)))/(x^2) over the interval [1, 2].
(Use decimal notation. Give your answer to three decimal places.)
average value:

Added by Margaret J.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Ma. Theresa Alin

06/23/2022

Step 1

To find the average value of a function over an interval [a, b], we use the formula: Average value = (1/(b-a)) * ∫[a to b] f(x) dx In this case, f(x) = 3x^(-2), a = 2, and b = 9. So, the average value is: Average value = (1/(9-2)) * ∫[2 to 9] 3x^(-2) dx Average Show more…

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Calculate the average of f(x)=3x^(-2) over the interval 2,9.Calculate the average of f(x)=(12sin((pi )/(x)))/(x^(2)) over the interval [1,2]. (Use decimal notation. Give your answer to three decimal places.) average value: (Use symbolic notation and fractions where needed.) average value: 12 sin() Calculate the average of f(x) = over the interval [1, 2]. x2 (Use decimal notation. Give your answer to three decimal places.) average value: