From bc7fb067935f62f2d2d4f79ba271c267c98e8ce6 Mon Sep 17 00:00:00 2001 From: Jay Belanger Date: Tue, 11 Oct 2005 19:43:00 +0000 Subject: [PATCH] (Integration): Mention using `a i' to compute definite integrals. --- man/calc.texi | 15 ++++++++++----- 1 file changed, 10 insertions(+), 5 deletions(-) diff --git a/man/calc.texi b/man/calc.texi index 9c8583040f1..6e397a0052c 100644 --- a/man/calc.texi +++ b/man/calc.texi @@ -23506,11 +23506,11 @@ argument once). @tindex integ The @kbd{a i} (@code{calc-integral}) [@code{integ}] command computes the indefinite integral of the expression on the top of the stack with -respect to a variable. The integrator is not guaranteed to work for -all integrable functions, but it is able to integrate several large -classes of formulas. In particular, any polynomial or rational function -(a polynomial divided by a polynomial) is acceptable. (Rational functions -don't have to be in explicit quotient form, however; +respect to a prompted-for variable. The integrator is not guaranteed to +work for all integrable functions, but it is able to integrate several +large classes of formulas. In particular, any polynomial or rational +function (a polynomial divided by a polynomial) is acceptable. +(Rational functions don't have to be in explicit quotient form, however; @texline @math{x/(1+x^{-2})} @infoline @expr{x/(1+x^-2)} is not strictly a quotient of polynomials, but it is equivalent to @@ -23519,6 +23519,11 @@ is not strictly a quotient of polynomials, but it is equivalent to integrated. Finally, rational functions involving trigonometric or hyperbolic functions can be integrated. +With an argument (@kbd{C-u a i}), this command will compute the definite +integral of the expression on top of the stack. In this case, the +command will again prompt for an integration variable, then prompt for a +lower limit and an upper limit. + @ifinfo If you use the @code{integ} function directly in an algebraic formula, you can also write @samp{integ(f,x,v)} which expresses the resulting -- 2.39.5