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(Integration): Mention using `a i' to compute definite integrals.

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Jay Belanger 2005-10-11 19:43:00 +00:00
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15
man/calc.texi
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@ -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