The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math.symbolic

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: integral for fun
Replies: 25   Last Post: Mar 6, 2014 4:10 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Waldek Hebisch

Posts: 267
Registered: 12/8/04
Re: integral for fun
Posted: Mar 3, 2014 10:24 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Friday, February 28, 2014 11:33:56 PM UTC-5, Richard Fateman wrote:
> I don't consider a solution that includes
> Si, Ci, or hypergeometric functions as a solution
> in closed form in terms of elementary functions.
> Unless there is no way of expressing the answer in
> terms of elementary functions.
> After all, you could always decide that the
> difficult integral in question deserves its own
> name, say FooI, and then return the answer in terms
> of FooI.

_Indefinite_ integral above can not be done using elementary
functions. For such integral 'li' and 'Ei' play the same
as logarithms. 'Ci' and 'Si' are similar to 'atan'.
As long as CAS can compute needed limits at infinity computing
indefinite integral in terms of special functions
is valid method of computing definite integral.
And it is much more general than methods based on
residue theorem.

Waldek Hebisch

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.