L9 - The Average Function Value Integral

# L9 - The Average Function Value Integral - Average Function...

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Average Function Value ( § s 5.1 & 5.3 revisited) Suppose we want to find the average temperature over a 24-hour period. We will take n measurements so Average temperature = We know the more measurements we take the better the approximation. Rewrite this expression as a Riemann sum over 0 t 24. t n Average temperature =

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DEF If f is integrable on [ a, b ], then its average value on [ a, b ] (also called its mean value), is _________________________________ Ex. Find the average value of f ( x ) x 2 1 on [0, 3 ] . Ex. Find the average value of f ( x ) cos x 3 8 x 2 3 on [0, 8].
Do: Find the average value of f ( x ) 2 x 3 3 on [1, 4]. THEOREM (Mean Value Theorem for Definite Integrals)

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L9 - The Average Function Value Integral - Average Function...

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