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Area Between Curves

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Agenda

  • Area Between Curves
  • Practice

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1.

Area Between Curves

Not just to the axis anymore!

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Area Between Curves

  • In the previous lesson, we saw that the area between a curve and the x-axis was found by integration
  • If the curve was below the x-axis, this resulted in a negative value
  • This suggests how to find the area between any two curves

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Area Between Curves

  • To find the area between two curves
    • Subtract the functions then integrate from x=a to x=b
  • Need to be careful with intersection points and which curve is above the other

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Area Between Curves

  • Can integrate across y if it’s more convenient for calculations

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2.

Practice

How else are we going to get better?

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Practice

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Credits

Special thanks to all the people who made and released these awesome resources for free:

  • Presentation template by SlidesCarnival

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Extra graphics

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