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Anonymous Posted on Dec 03, 2009

How to find area between 2 curves - Texas Instruments TI-83 Plus Calculator

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k24674

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  • Texas Instru... Master 8,093 Answers
  • Posted on Dec 04, 2009
k24674
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Hi,
The TI84Plus has a Shade( function which allows you to represent the area you want to calculate.
The simplest syntax of the command is

Shade( lower_function, upper_function, Xleft, Xright, pattern, patern_resol) where Xleft is the left limit, Xright is the right limit, pattern is the shading pattern and pattern_resol is the resolution of the shading. Only the area where lower_function is less than upper_function is shaded. Unfortunately this command does give the value of the shaded area.

To find the area between two curves

  1. Draw the curves
  2. Find the left intersection point using [2nd][CALC][5:intersect]. Sorry I will not describe the procedure. The X value of the intersection point is stored in Ans memory.
  3. Press [2nd][QUIT] to go to main calculator screen.
  4. Store the Ans result in say A: [2nd][Ans][STO->][ALPHA] A
  5. Return to the graph by pressing [GRAPH].
  6. Find a second intersection point. Result is stored in Ans memory.
  7. Press [2nd][Quit] to return to main calculator screen
  8. Press [2nd][Ans][STO->][ALPHA] B to store the X value of the second intersection point in B.
  9. Use the CATALOG to paste the fnInt( command to calculate the integral : [2nd][CATALOG][[APLHA] F and scroll to select fnInt( and press [ENTER]
  10. To complete the command you need the identifiers Y1 and Y2.. You access the identifiers Y1 and Y2 by pressing [VARS][Y-VARS][1:Function][1:Y1] and [VARS][Y-VARS][1:Function][2:Y2]
  11. The command should appear as fnInt( Y2-Y1,A,B)
  12. Press [ENTER] to obtain your value.
Hope it helps.
Thank you for using FixYa.
Do not forget to rate the solution.



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  • k24674 Dec 04, 2009

    Actually the simplest syntax for Shade( is
    Shade( lower_function, upper_function, Xleft, Xright).
    Wether you put in the fnInt( function Y1-Y2, or Y2-Y1 depends on your problem. You do not need to use the X coordinates of the intersection points, just two limits for the interval over which you are calculating the between-curves area.


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