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Unformatted text preview: area up into slices (thin rectangles) which are horizontal (i.e. parallel to the xaxis). The area A of the region bounded by the curves x = f ( y ) and x = g ( y ) and between the horizontal lines y = a and y = b , where f and g are continuous functions and f ( y ) g ( y ) for all y in [ a, b ] is A = Z b a [ f ( y )g ( y )] dy The area A of the region bounded by the curves y = f ( x ) and y = g ( x ) and between the vertical lines x = a and x = b , where f and g are continuous functions in [ a, b ] is A = Z b a  f ( x )g ( x )  dx...
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 Spring '08
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 Calculus

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