Unformatted text preview: t 3 ) dt . 2. Express the following as integrals. DO NOT EVALUATE the integals. Sketches may be useful in obtaining partial credit if you make a mistake. (a) (3 points) The average of the positive values of f ( x ) = 9x 2 ; that is, the average over those x for which f ( x ) ≥ 0. (b) (7 points) The volume of the solid obtained by rotating the region that lies below y = x and above y = x 2 about the yaxis. END OF EXAM...
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 Fall '08
 Justin
 Math, Calculus, Definite Integrals, blue book, MATH 20B

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