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anonymous
 one year ago
Find the average value of f(x) = sin(x) over the interval [0, π].
anonymous
 one year ago
Find the average value of f(x) = sin(x) over the interval [0, π].

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jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1M = average value of f(x) from x = a to x = b \[\Large M = \frac{1}{ba}\int_{a}^{b}f(x)dx\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1In this case, a = 0 b = pi f(x) = sin(x) \[\Large M = \frac{1}{ba}\int_{a}^{b}f(x)dx\] \[\Large M = \frac{1}{\pi0}\int_{0}^{\pi}\sin(x)dx\] \[\Large M = ??\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0That's basically what I did without multiplying by 1/pi

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So it should be 2/pi

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you are correct
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