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ExploreCalculusApplications of integration

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Calculus

Applications of integration

  • Finding the average value of a function on an interval
  • Connecting position, velocity, and acceleration functions using integrals
  • Using accumulation functions and definite integrals in applied contexts
  • Finding the area between curves expressed as functions of x
  • Finding the area between curves expressed as functions of y
  • Finding the area between curves that intersect at more than two points
  • Volumes with cross sections: squares and rectangles
  • Volumes with cross sections: triangles and semicircles
  • Volume with disc method: revolving around x- or y-axis
  • Volume with disc method: revolving around other axes
  • Volume with washer method: revolving around x- or y-axis
  • Volume with washer method: revolving around other axes
  • The arc length of a smooth, planar curve and distance traveled
  • Calculator-active practice

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Applications of integration

integration problems

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