On Apr 24, 7:03 pm, Chris Seberino <cseber...@gmail.com> wrote:
Hi,
> Notice first and second are very similar except for the cos() and exp
> ().
>
> Why first one ok but second bombs?
>
> sage: numerical_integral(sin(pi*cos(x/2)),0,2)[0]
> 0.85397903781471396
I guess you are using Sage 3.4?
Works for me in my current merge tree:
----------------------------------------------------------------------
| Sage Version 3.4.2.alpha0, Release Date: 2009-04-24 |
| Type notebook() for the GUI, and license() for information. |
----------------------------------------------------------------------
sage: numerical_integral(sin(pi*cos(x/2)),0,2)[0]
0.85397903781471396
sage: numerical_integral(sin(pi*cos(x/2)),0,2)[0]
0.85397903781471396
sage: numerical_integral(sin(pi*cos(x/2)),0,2)[0]
0.85397903781471396
sage: numerical_integral(sin(pi*cos(x/2)),0,2)[0]
0.85397903781471396
sage: numerical_integral(sin(pi*cos(x/2)),0,2)[0]
0.85397903781471396
sage: numerical_integral(sin(pi*cos(x/2)),0,2)[0]
0.85397903781471396
sage:
3.4.1:
----------------------------------------------------------------------
| Sage Version 3.4.1, Release Date: 2009-04-21 |
| Type notebook() for the GUI, and license() for information. |
----------------------------------------------------------------------
sage: numerical_integral(sin(pi*cos(x/2)),0,2)[0]
0.85397903781471396
sage: numerical_integral(sin(pi*cos(x/2)),0,2)[0]
0.85397903781471396
sage: numerical_integral(sin(pi*cos(x/2)),0,2)[0]
0.85397903781471396
sage: numerical_integral(sin(pi*cos(x/2)),0,2)[0]
0.85397903781471396
sage: numerical_integral(sin(pi*cos(x/2)),0,2)[0]
0.85397903781471396
sage: numerical_integral(sin(pi*cos(x/2)),0,2)[0]
0.85397903781471396
sage: numerical_integral(sin(pi*cos(x/2)),0,2)[0]
0.85397903781471396
sage:
And Sage 3.4:
| Sage Version 3.4, Release Date: 2009-03-11 |
| Type notebook() for the GUI, and license() for information. |
----------------------------------------------------------------------
sage: numerical_integral(sin(pi*cos(x/2)),0,2)[0]
0.85397903781471396
sage: numerical_integral(sin(pi*cos(x/2)),0,2)[0]
0.85397903781471396
sage: numerical_integral(sin(pi*cos(x/2)),0,2)[0]
0.85397903781471396
sage: numerical_integral(sin(pi*cos(x/2)),0,2)[0]
0.85397903781471396
sage: numerical_integral(sin(pi*cos(x/2)),0,2)[0]
0.85397903781471396
sage: numerical_integral(sin(pi*cos(x/2)),0,2)[0]
0.85397903781471396
sage: numerical_integral(sin(pi*cos(x/2)),0,2)[0]
0.85397903781471396
sage:
So I cannot reproduce this. What platform are you on and are you using
a binary, build from source, etc?
Cheers,
Michael
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