Make integrate accept a variable range as a tuple

[jasongrout]

It is inconsistent with plot and other functions that this just hangs:

integrate(sin(x), (x,0,1))

This patch takes care of this.

CC: @kcrisman

Component: calculus

Author: Jason Grout, Karl-Dieter Crisman

Reviewer: Karl-Dieter Crisman, Jason Grout, Mike Hansen

Merged: sage-4.2.1.alpha0

Issue created by migration from https://trac.sagemath.org/ticket/7327

[jasongrout]

Attachment: trac-7327-integrate-range.patch.gz

[kcrisman]

comment:1

This is a duplicate of #6816. The tests for one of these should be incorporated in the other - probably in this one, since it has some doc upgrades - and probably also the check for too many arguments in the tuple.

[kcrisman]

Based on Sage 4.2

[kcrisman]

comment:2

Attachment: trac_7327-updated.patch.gz

Updated patch includes the issues mentioned in previous comment, is ready for review. Positive review to the parts I didn't write.

[kcrisman]

Reviewer: Karl-Dieter Crisman, Jason Grout

[kcrisman]

Changed author from Jason Grout to Jason Grout, Karl-Dieter Crisman

[mwhansen]

comment:3

Looks good to me.

[mwhansen]

Changed reviewer from Karl-Dieter Crisman, Jason Grout to Karl-Dieter Crisman, Jason Grout, Mike Hansen

[mwhansen]

Merged: sage-4.2.1.alpha0

[kcrisman]

comment:5

Just an update - it turns out the original integral reported in #6816 is not, in fact, convergent. Fixing this doctest so something mathematically correct happens will be done in #7745, since Maxima 5.20.1 simply returns that integral now, as opposed to giving 0.