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Calculus Graphs Integration Learning Objects Unit 2 Unit 4

Integration – Area under the curve

Investigate finding the area under a curve – integration. Use the sliders to change the boundaries. You can also modify the function being graphed.

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Calculus Integration Podcast Unit 2 Unit 4

Approximating areas under curves

  • Area under curves
  • Left end-point approximation
  • Right end-point approximation
  • Improvements to rectangle approximations
  • Find the total from a rate

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Calculus Integration Podcast Unit 2 Unit 4

Integration

  • Find the total from a rate
  • Anti-differentiation
  • Rules for anti-differentiation
  • Examples of anti-derivative functions
  • Finding the original function
  • Area under a curve – integration
  • Signed area

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Integration Podcast

Definite integrals

  • Area under a curve – integration
  • Circular functions
  • Exponential functions
  • Hyperbolic functions
  • Area between two curves
  • Average value of a function

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Integration Podcast Unit 4

More integration

  • Anti-differentiation of powers of x
  • Anti-differentiation of circular functions
  • Anti-differentiation of exponential functions
  • Anti-differentiation of 1/x

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