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authorJay Belanger2005-10-11 19:43:00 +0000
committerJay Belanger2005-10-11 19:43:00 +0000
commitbc7fb067935f62f2d2d4f79ba271c267c98e8ce6 (patch)
tree559a9268b79f3f05caf58962fc0c06106ae87fec
parentb682966a61dafc6658778c83ea6692147a13b0f7 (diff)
downloademacs-bc7fb067935f62f2d2d4f79ba271c267c98e8ce6.tar.gz
emacs-bc7fb067935f62f2d2d4f79ba271c267c98e8ce6.zip
(Integration): Mention using `a i' to compute definite integrals.
-rw-r--r--man/calc.texi15
1 files 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).
23506@tindex integ 23506@tindex integ
23507The @kbd{a i} (@code{calc-integral}) [@code{integ}] command computes the 23507The @kbd{a i} (@code{calc-integral}) [@code{integ}] command computes the
23508indefinite integral of the expression on the top of the stack with 23508indefinite integral of the expression on the top of the stack with
23509respect to a variable. The integrator is not guaranteed to work for 23509respect to a prompted-for variable. The integrator is not guaranteed to
23510all integrable functions, but it is able to integrate several large 23510work for all integrable functions, but it is able to integrate several
23511classes of formulas. In particular, any polynomial or rational function 23511large classes of formulas. In particular, any polynomial or rational
23512(a polynomial divided by a polynomial) is acceptable. (Rational functions 23512function (a polynomial divided by a polynomial) is acceptable.
23513don't have to be in explicit quotient form, however; 23513(Rational functions don't have to be in explicit quotient form, however;
23514@texline @math{x/(1+x^{-2})} 23514@texline @math{x/(1+x^{-2})}
23515@infoline @expr{x/(1+x^-2)} 23515@infoline @expr{x/(1+x^-2)}
23516is not strictly a quotient of polynomials, but it is equivalent to 23516is 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
23519integrated. Finally, rational functions involving trigonometric or 23519integrated. Finally, rational functions involving trigonometric or
23520hyperbolic functions can be integrated. 23520hyperbolic functions can be integrated.
23521 23521
23522With an argument (@kbd{C-u a i}), this command will compute the definite
23523integral of the expression on top of the stack. In this case, the
23524command will again prompt for an integration variable, then prompt for a
23525lower limit and an upper limit.
23526
23522@ifinfo 23527@ifinfo
23523If you use the @code{integ} function directly in an algebraic formula, 23528If you use the @code{integ} function directly in an algebraic formula,
23524you can also write @samp{integ(f,x,v)} which expresses the resulting 23529you can also write @samp{integ(f,x,v)} which expresses the resulting