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Re: [MATHCAD] Calculating area under a curve
| Re: [MATHCAD] Calculating area under a curve |
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Author: Drobinso
Posted: Mon, 14 Sep 1998 17:42:57 +0100
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I assume that your two data sets are holding the x and y data. There are
many ways of doing what you want. Here are two that instantly come to mind.
1) Fun way, use one of the function fitting routines to obtain a
polynomial, or other suitable analytic approximation to the data, then use
the symbolic integration function and integrate between the lower and upper
limits of your data.
2) Mundane way, sort your x data into ascending order, remembering to
leave the y data associated with the corresponding x values, if they shift.
xn,yn and xn+1,yn+1 define a trapezium which you calculate its area.
Similarly xn+1,yn+1 and xn+2,yn+2 form a butt joining trapezium, and so on
right across your curve. Simply sum the area's of all of the trapeziums.
I am sure the other guy's will have much more elegant solutions. I look
forward to seeing them
Dave Robinson
Integral Vision
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