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Warm Up Show all definite integrals!!!!!

Warm Up Show all definite integrals!!!!!. Calculator Active : Let R be the region bounded by the graph of y = ln x and the line y = x – 2. Find the area of region R.

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Warm Up Show all definite integrals!!!!!

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  1. Warm UpShow all definite integrals!!!!! • Calculator Active: Let R be the region bounded by the graph of y = lnx and the line y = x – 2. Find the area of region R. 2) NO CALCULATOR: Let T be the region bounded by x= y2 – 4y + 4, and x = y – 2. Determine the area of region T.

  2. Area Between Curves Day 2

  3. CALCULATOR ACTIVE In the figure, R is the shaded region in the first quadrant bounded by the graph of y = 4ln(3 – x), the horizontal line y = 6 and the vertical line x = 2. Find the area of R.

  4. NO CALCULATOR Let R be the region in the first quadrant bounded by the graph of , the horizontal line y = 6 and the y-axis. Find the area of R.

  5. Calculator ActiveFind the area of the region bounded by the graphs of ANS: 24

  6. Calculator Active Let f and g be the functions given by f(x) = ¼ + sin(πx) and g(x) = 4 – x . Let R be the region in the first quadrant enclosed by the graphs of f and g and the y – axis and let S be the region in the first quadrant enclosed by the graphs of f and g. • Find the area of region R. • Find the area of region S.

  7. NO CALCULATOR Find the area of the region R in the first quadrant that is bounded by the x-axis, the line y = x – 2 and ANS: 10/3 Sub-regions then Change variables

  8. CALCULATOR ACTIVE Find the area of the region enclosedby the graphs of y = x3 and x = y2 – 2 ANS: 4.215

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