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Unformatted text preview: (1) 3 x + 2 y = 6 , y = 0 and x = 0 . (2) y = 1 /x , y = 0 , x = 1 and x = 2 . Theorem 2.1. If the region R lies between two curves y = f ( x ) and y = g ( x ) , where f ( x ) ≥ g ( x ) , then the centroid is ¯ x = 1 A ± b a x [ f ( x )g ( x )] dx ¯ y = 1 A ± b a 1 2 { [ f ( x )] 2[ g ( x )] 2 } dx Example 2.2. Find the centroid of the region bounded by y = x + 2 and y = x 2 ....
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 Fall '07
 Zhang
 Calculus, UCI race classifications, dx, Physics and Engineering

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