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| -rw-r--r-- | man/calc.texi | 15 |
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 |
| 23507 | The @kbd{a i} (@code{calc-integral}) [@code{integ}] command computes the | 23507 | The @kbd{a i} (@code{calc-integral}) [@code{integ}] command computes the |
| 23508 | indefinite integral of the expression on the top of the stack with | 23508 | indefinite integral of the expression on the top of the stack with |
| 23509 | respect to a variable. The integrator is not guaranteed to work for | 23509 | respect to a prompted-for variable. The integrator is not guaranteed to |
| 23510 | all integrable functions, but it is able to integrate several large | 23510 | work for all integrable functions, but it is able to integrate several |
| 23511 | classes of formulas. In particular, any polynomial or rational function | 23511 | large classes of formulas. In particular, any polynomial or rational |
| 23512 | (a polynomial divided by a polynomial) is acceptable. (Rational functions | 23512 | function (a polynomial divided by a polynomial) is acceptable. |
| 23513 | don'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)} |
| 23516 | is not strictly a quotient of polynomials, but it is equivalent to | 23516 | 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 | |||
| 23519 | integrated. Finally, rational functions involving trigonometric or | 23519 | integrated. Finally, rational functions involving trigonometric or |
| 23520 | hyperbolic functions can be integrated. | 23520 | hyperbolic functions can be integrated. |
| 23521 | 23521 | ||
| 23522 | With an argument (@kbd{C-u a i}), this command will compute the definite | ||
| 23523 | integral of the expression on top of the stack. In this case, the | ||
| 23524 | command will again prompt for an integration variable, then prompt for a | ||
| 23525 | lower limit and an upper limit. | ||
| 23526 | |||
| 23522 | @ifinfo | 23527 | @ifinfo |
| 23523 | If you use the @code{integ} function directly in an algebraic formula, | 23528 | If you use the @code{integ} function directly in an algebraic formula, |
| 23524 | you can also write @samp{integ(f,x,v)} which expresses the resulting | 23529 | you can also write @samp{integ(f,x,v)} which expresses the resulting |