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  • Committer: Bazaar Package Importer
  • Author(s): Torsten Werner
  • Date: 2005-01-09 22:58:21 UTC
  • mfrom: (1.1.1 upstream)
  • Revision ID: james.westby@ubuntu.com-20050109225821-473xr8vhgugxxx5j
Tags: 3.0-12
http://bugs.debian.org/255869
changed configure.in to build scilab's own malloc.o, closes: #255869

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man/elementary/integrate.man
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.TH integrate 1 "April 1993" "Scilab Group" "Scilab Function"
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.so ../sci.an
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.SH NAME
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integrate - integration by quadrature
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.SH CALLING SEQUENCE
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.nf
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[x]=integrate(expr,v,x0,x1 [,ea [,er]])
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.fi
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.SH PARAMETERS
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.TP 10
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expr
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: external Scilab
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.TP 10
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v
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: string (integration variable)
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.TP 10
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x0,x1
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: real numbers (bounds of integration)
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.TP 10
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ea,er
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: real numbers (absolute  error bound) Default value: 0
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.TP 10
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er
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: real number, (relative error bound) Default value: 1.d-8
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.SH DESCRIPTION
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computes :
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.IG
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.nf
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                      /x1
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                     [
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                 x = I  f(v)dv
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                     ]
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                    /x0
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.fi
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.FI
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.LA $$ x = \int_{x_0}^{x_1} f(v)dv $$
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The evaluation hopefully satisfies following claim for accuracy:
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\fVabs(I-x)<= max(ea,er*abs(I))\fR where I stands for the
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exact value of the integral.
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.SH EXAMPLE
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.nf
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integrate('sin(x)','x',0,%pi)
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integrate(['if x==0 then 1,';
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           'else sin(x)/x,end'],'x',0,%pi)
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.fi
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.SH SEE ALSO
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intg, inttrap, intsplin, ode
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