integrate - integration by quadrature

Calling Sequence

[x]=integrate(expr,v,x0,x1 [,ea [,er]])

Parameters

• expr : external Scilab
• v : string (integration variable)
• x0,x1 : real numbers (bounds of integration)
• ea,er : real numbers (absolute error bound) Default value: 0
• er : real number, (relative error bound) Default value: 1.d-8

Description

computes :

                       /x1
                      [
                  x = I  f(v)dv
                      ]
                     /x0
      

The evaluation hopefully satisfies following claim for accuracy: abs(I-x)<= max(ea,er*abs(I)) where I stands for the exact value of the integral.

Examples

integrate('sin(x)','x',0,%pi)
integrate(['if x==0 then 1,';
           'else sin(x)/x,end'],'x',0,%pi)
 
  

See Also

intg ,   inttrap ,   intsplin ,   ode ,