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Scilab Help >> Differential calculus, Integration > intc

intc

integral along a straight path in the complex plan

Syntax

[y, err] = intc(a, b, f)
[y, err] = intc(a, b, f, abserr)
[y, err] = intc(a, b, f, abserr, relerr)

Arguments

a, b
two complex numbers: starting and ending points of the integral in the complex plan.

f
Identifier of the function to be integrated.

abserr, relerr
real scalars: absolute and relative errors. Default values: 1.d-13 and 1d-8.

err
real number: estimated absolute error on the result.

Description

If f is a complex-valued function, intc(a, b, f) computes the integral from a to b of f(z)dz along the straight line [a b] of the complex plan.

Examples

function y=f(z)
  y = z^(3 + %pi * %i);
endfunction

intc(1+%i, 4-%i, f)

[r, err] = intc(1+%i, 4-%i, f, 1d-10, 1d-6)

See also

  • intg — definite integral
  • intl — Cauchy integral

History

VersionDescription
5.5.0 Absolute and relative (input) and absolute (output) errors management added.
6.1.0 The default abserr value becomes 10-13 instead of 10-14.
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Last updated:
Tue Feb 25 08:49:18 CET 2020