61 - Section 6.1 This section deals with the area of...

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MTH 173 section 6.1 notes page 1\ Section 6.1 This section deals with the area of regions bounded by two (or more) curves. In setting up the integral, I illustrate the Riemann sum “typical” rectangle with a thick black line segment. The width of the segment represents either or . The length of the ? ? B C segment represents the function in the Riemann sum. The bounds on the integral are determined from the points at which the curves intersect. Example: The region bounded by and C o B  " C o  B  B  % * ) % # height area area o C  C o  B  B  %  B  " * ) % o  B  B  %  B  " B * ) % o  B  B  %  B  " .B * ) % ? 6 # # 8Ä_ 3o" 8 # % # O a b O O a b " ( O O a b ? lim
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MTH 173 section 6.1 notes page 2\ Example: the area of the finite region bounded by the curves below: in yellow, area of typical rectangle, width is and the height is ? B a b y coor on red curve y coor on blue curve o Š a
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61 - Section 6.1 This section deals with the area of...

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