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Area between curves that intersect at more than two points (calculator-active)


Let f(x)=2cos(πx3) and g(x)=28xx+61. Let R and S be the two regions enclosed by the graphs of f and g as shown in the graph.
Find the sum of the areas of regions R and S.
Use a graphing calculator and round your answer to three decimal places.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi