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Unformatted text preview: • find an antiderivative; • evaluate at b; • evaluate at a; • subtract the results. Example Example Given f (2) = 1, ′ f ( x ) 2 ∫ dx = 7, f (0) = ? x + x 4 ∫ dx = Average value Average value Average Value of f over the interval [a,b] = 1 b − a f ( x ) dx a b ∫ EXAMPLE EXAMPLE SOLUTION SOLUTION ( Average Temperature ) During a certain 12hour period the temperature at time t (measured in hours from the start of the period) was degrees. What was the average temperature during that period? 2 3 1 4 47 t t − + Volume Volume EXAMPLE EXAMPLE SOLUTION SOLUTION Find the volume of a solid of revolution generated by revolving about the xaxis the region under the following curve. 2 to 1 from 2 = = = x x x y From next week From next week Chapter 7 Functions of several variables...
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This note was uploaded on 02/20/2009 for the course MTH 122 taught by Professor Buettgens during the Spring '08 term at SUNY Buffalo.
 Spring '08
 BUETTGENS
 Calculus

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