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Can Maple 11 calculate the TABLE integrals?

Enjoy yet another VM machine discovery.

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Mathematica 6.0.2

Integrate[1/z^2,{z,1,I Infinity}]

1

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Derive 6.1

INT(1/z^2,z,1,#i*inf)

1

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MuPAD 4.0.2

int(1/z^2, z = 1..I*infinity);

1

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Now, what about Maplesoft, after 25+ years of Maple development?

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Maple 11.02> int(1/z^2, z = 1..I*infinity);

Maple 11.02> int(1/(1+z)^2, z = 0..I*infinity);
Maple 11.02> int(1/(1+z)^2, z = 1..I*infinity);

1
int(1/(1+z)^2,z = 1 .. infinity*I)

Enjoy!

On Mar 30, 5:05 am, Vladimir Bondarenko cybertester.com> wrote:

On Mar 30, 3:27 pm, Vladimir Bondarenko cybertester.com> wrote:

One must be very careful when using such "complex infinities".
It is much better to transform first the integral e.g. over
[0,infinity)
DERIVE simply computes INT(f,a,b) = F(b) - F(a) where F is an
antiderivative,
even if a,b are "infinities". Do you think that this is a so smart
approach?

I did expect a comment like yours (about the complex plane).

I agree. In this respect, Derive's approach is (too) simplistic.

But what you'd say about Mathematica 6 and MuPAD 4?

...................................................

Just a remark on the ubiqiutous Maple bugs...

# Jacques Carette, Mar 24, 2008

Maple 11.02> assume(z>0);
Maple 11.02> is(sin(z)^2+cos(z)^2*z^2 > 0);

false (!) # Maple bugs strike again!

...................................................

So, what you'd say about Mathematica 6 and MuPAD 4?

...................................................

On Mar 30, 7:25 am, Vladimir Bondarenko cybertester.com> wrote:

...........................................

Just yet another ubiqiutous Maple 11 bug...

# Axel Vogt, Mar 28, 2008

Maple 11.02> Ei(1,1):
Maple 11.02> evalf(%%=convert(%%,Sum));

.2193839344 = 1.

# Maple bugs strike again!

...........................................

Vladimir Bondarenko wrote:

honestly you should give reference to http://www.mapleprimes.com/tracker

Agree! The reader would feel the problem better if given
the context and accompanying instructive discussion.

So here is the link to a hot Axel Vogt's Ei-related bug
description a simplified form of which I presented:

http://www.mapleprimes.com/blog/axelvogt/errrexponentialintegralsum

Savour! ;)

I can only sing in sync with Herr Vogt, Arghrrrr! ;-)

How does Maplesoft fix the bugs in Maple?

A live discussion in Russian at http://forum.ru-board.com

http://forum.ru-board.com/topic.cgi?forum=5&topic=9935&start=180

http://forum.ru-board.com/topic.cgi?forum=5&topic=9935&start=200

Vladimir Bondarenko cybertester.com> wrote:

I must say that I don't agree. It seems to me that Derive's approach here
is theoretically correct and as simple as possible.