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Summation of Accumulative Physical Quantity
  Areas of plane shapes 

Summation of Accumulative Physical Quantity

Areas of plane shapes can be determined by integration when the area of a plane shape is expressed as an infinitesimal area element that can be summed by the application of integration. 

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Areas of plane shapes 

  1. Area of Rectangle

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    Area by integration.

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  2. Area of Square

    Area of square is a special case of rectangle. The area of square can be obtained by letting b=a

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  3. Area of Parallelogram

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    Area of parallelogram by horizontal summation approach

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    Area of parallelogram by vertical summation approach

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  4. Area of Triangle

    For right angle triangle

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    Area of right angle triangle by horizontal summation approach

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    For oblique triangle

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    Area of oblique triangle by area between curves

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  5. Area of Rhombus

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    Area of rhombus by area between curves

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  6. Area of Trapezoid

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    Area of trapezoid by area between curves

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ID: 111100012 Last Updated: 11/27/2011 Revision: 0 Ref:

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References

  1. S. James, 1999, Calculus
  2. B. Joseph, 1978, University Mathematics: A Textbook for Students of Science & Engineering
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