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How to find the integral with only a graph given

  1. Mar 9, 2013 #1
    how do you graph an integral?

    (a) Evaluate g(x) for x = 0, 4, 8, 12, 16, 20, and 24.


    (b) Estimate g(28). (Use the midpoint to get the most precise estimate.
    since theres no equation give I dont know how to integrate the function.
     

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    Last edited: Mar 9, 2013
  2. jcsd
  3. Mar 9, 2013 #2

    vela

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    Why did you think g(4)=4? If you're just guessing, you need to go back and study some more before even attempting the problem.
     
  4. Mar 9, 2013 #3
    is the a way you can help me find the integral from just the graph?
     
  5. Mar 9, 2013 #4

    SteamKing

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    What does this integral represent geometrically?
     
  6. Mar 10, 2013 #5
    the area , in this case most of them are triangles
     
  7. Mar 10, 2013 #6

    vela

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    Do you know how to calculate the area of a triangle?
     
  8. Mar 10, 2013 #7

    SammyS

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    What is the area of each small rectangle on the graph ?
     
  9. Mar 10, 2013 #8
    You can fit analytic functions piecewise to f(t), and then integrate analytically. The variation, for the most part, is linear in the various sections.
     
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