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Applications of Integrals

Integrals are powerful tools for solving problems.

7A

Understanding Integrals as Net Change

  • Explain the difference between displacement and distance traveled
  • Calculate net change in a variety of situations
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7B

Understanding Area Between Curves

  • Set up integrals that represent the area between curves
  • Use dx and dy integrals to find areas between curves
  • Find area between polar curves*
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7C

Understanding Solids of Known Cross Sections

  • Find volumes using the disc and washer methods
  • Find volumes of solids not formed by rotation
  • Use dx and dy cross sections
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7D*

Understanding Lengths of Curves

  • Find lengths of curves over a given domain
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