Hello, I'd like to know if it's possible to get Sage to process the
following integrals:
reset()
var('x y z')
assume(z>-16)
assume(z<0)
integrate(integrate(1/16,y,-2,(z+2*x+4)/(x+2)),x,(-z-8)/4,2)
Sage always return: "Is z+16 positive, negative, or zero?"
Maxim
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Dear sagefriends,
(sorry for my English)
Let us define
var('t'); q=sin(t)^2 + cos(t)^2
By using simplify(q) we again get
sin(t)^2 + cos(t)^2
Instead of simplify() we can use full_simplify() and trig_simplify().
But both full_simplify(q) and trig_simplify(q) give an error message.
You must
Maple is able to solve this using the following code:
restart;
assume(z<0);
int(int(1/16,y=-2..(z+2*x+4)/(x+2)),x=(-z-8)/4..2);
1 1 1
-- z + 1 + - z ln(2) - -- z ln(-z)
16 4 16
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> integrate(integrate(1/16,y,-2,(z+2*x+4)/(x+2)),x,(-z-8)/4,2)
Seems to work for me:
--
| Sage Version 4.6.1, Release Date: 2011-01-11 |
| Type notebook() for the GUI, and license() for information.|
Repeating the steps in the exact order you provided them from a
freshly started Sage does indeed work.
But, after a "reset()" command, it does not work anymore. Try the
following code:
var('x y z')
assume(z+16>0); assume(z<0)
integrate(integrate(1/16,y,-2,(z+2*x+4)/(x+2)),x,(-z-8)/4,2)
reset()
> But, after a "reset()" command, it does not work anymore.
Confirmed. Well, that ain't proper.
Could you try "reset(); forget();" instead of "reset()"? Right now
assumptions survive a reset in a broken state (try assumptions()
before and after the reset and you'll see them still listed even if
