Integration by trapezoidal rule

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Top Forums Shell Programming and Scripting Integration by trapezoidal rule

10-24-2007

tonet

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Integration by trapezoidal rule

Hi everybody:
Somebody know or have a simple script which can calculate the integration from a database using the trapezoidal rule in awk.

I have a file like:

Code:

0.490 952.296 284.19 11.3169 0.002481 0.488 0.01
0.500 965.57 288.25 11.3395 2.48E-03 0.048 0.01
0.510 964.47 288.25 10.8759 0.002479 0.036 0.01
0.520 963.343 288.383 10.4918 0.002478 0.029 0.01
0.530 962.193 288.583 10.5154 0.002477 0.024 0.01
0.540 961.048 288.75 10.611 0.002476 0.020 0.01
0.550 959.91 288.817 10.6468 0.002475 0.017 0.01
0.560 958.783 288.75 10.5994 0.002474 0.015 0.01
0.570 957.644 288.798 10.6117 0.002473 0.013 0.01
0.580 956.5 288.878 10.6471 0.002472 0.012 0.01
0.590 955.366 288.95 10.6756 0.002471 0.011 0.01
0.600 954.23 288.95 10.6384 2.47E-03 0.010 0.01

and I would like to know the integration where x=$1 and f(x)=$6.

Thanks in advance.

tonet

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