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Unformatted text preview: the Riemann sum ): V n i =1 A ( x * i ) 4 x . This approximation appears to become better and better as n . (Think of the slices as becoming thinner and thinner.) Therefore, we dene the volume as the limit of these sums as n . Also, this limit of Riemann sums is the denite integral : Let S be a solid that lies between x = a and x = b . If the crosssectional area of S in the plane P x , through x and perpendicular to the xaxis, is A ( x ), where A is a continuous function, then the volume of S is: V = lim n n i =1 A ( x * i ) 4 x = Z b a A ( x ) dx Example 1 of Section 6.2 (textbook): Example 2 of Section 6.2 (textbook): Example 3 of Section 6.2 (textbook): Example 4 of Section 6.2 (textbook): Example 5 of Section 6.2 (textbook): Example 6 of Section 6.2 (textbook): Example 7 of Section 6.2 (textbook): 1...
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This note was uploaded on 05/23/2011 for the course MAC 2311 taught by Professor Noohi during the Fall '08 term at FSU.
 Fall '08
 Noohi
 Calculus

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