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roms2003


Newbie


Joined: 19 Mar 2004
Posts: 4

Posted: 22 Mar 2004 04:26:43 am    Post subject:

When i substitute:

X for sec t

in f(x)= sqrt 1-X^-2

what values can i put in the interface of smg:

substitute: u
for: ????????
new expression:S( ,u) ???????
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SonderMad


Newbie


Joined: 22 Mar 2004
Posts: 5

Posted: 22 Mar 2004 09:24:52 am    Post subject:

As I told you before you should substitute with t=sec^-1(x). Normally when you substitute by using a function the syntax is something like:
substitute(integral(var),newvar=expression(var))
I don’t know smg but my guess is that t is u, so you should substitute: u for sec^-1(x). If this thing fails get another program!
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roms2003


Newbie


Joined: 19 Mar 2004
Posts: 4

Posted: 22 Mar 2004 12:12:30 pm    Post subject:

ok, i´m gonna try today....

>>> don’t know smg but my guess is that t is u, so you should substitute: u for sec^-1(x). If this thing fails get another program!

which programs step-by-step can i use for TI/V200 to solve integration problems ?
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SonderMad


Newbie


Joined: 22 Mar 2004
Posts: 5

Posted: 22 Mar 2004 02:03:43 pm    Post subject:

>>>which programs step-by-step can I use for TI/V200 to solve integration problems?

There are no real step-by-step integration programs for the V200 such as the ones for HP. But you can try:
http://home.houston.rr.com/thegefishers/symdev.html

or:
http://www.ticalc.org/archives/files/fileinfo/282/28285.html

The last link is in Esp. I think.
I have also made an integration program that can substitute. However it is aimed at rather complicated tasks:

http://www.ticalc.org/archives/files/fileinfo/303/30382.html
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DarkerLine
ceci n'est pas une |


Super Elite (Last Title)


Joined: 04 Nov 2003
Posts: 8328

Posted: 22 Mar 2004 05:23:42 pm    Post subject:

Notice the [QUOTE] function.
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SonderMad


Newbie


Joined: 22 Mar 2004
Posts: 5

Posted: 23 Mar 2004 01:40:35 am    Post subject:

[QUOTE]Notice the
Quote:
function.


I see;)
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roms2003


Newbie


Joined: 19 Mar 2004
Posts: 4

Posted: 23 Mar 2004 09:26:09 am    Post subject:

>There are no real step-by-step integration programs for the V200 such as the ones for HP.

with smg i can do step-by-step integration by parts.... but when i try integration by substitution for this example:

substitute X for sec t

in f(x)= sqrt 1-X^-2

smg interface:

substitute: u
for: sec (x)^-1
new expression:S( 1-sec (x)^-1,u)

the smg information it´s: unable to verify equivalence of integrals.

if i put in the smg:

substitute: u
for: sec (t)^-1
new expression:S( 1-sec (t)^-1,u)

the smg information it´s: invalid target for substitution

the manual that i have of smg doesn´t explain how to use integration by substitution...maybe i can question TI for this....

>I have also made an integration program that can substitute.

i tried yet the asi program, but it´s a little complicate for me...i´m sure that it´s a good program to solve integration problems....
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SonderMad


Newbie


Joined: 22 Mar 2004
Posts: 5

Posted: 23 Mar 2004 11:32:56 am    Post subject:

Quote:
with smg i can do step-by-step integration by parts....

Well I understand part-by-part as automatic - You enter the integral and look at a valid substitution procedure.

I said in my first post: that t is u!!!!! Apparently smg is incapable of switching variable name.
Try:

f(x)= sqrt 1-X^-2
smg interface:

substitute: u
for: sec (u)^-1

or:

substitute: u
for: sec (x)
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roms2003


Newbie


Joined: 19 Mar 2004
Posts: 4

Posted: 25 Mar 2004 10:24:33 am    Post subject:

Quote:
substitute: u
for: sec (u)^-1
the result it´s: invalid target for substitution

Quote:
or:

substitute: u
for: sec (x) 
OK, but if i put in the:

new expression: S(1-sec (u)^-1, u)

the result it´s: unable to verify equivalence of integrals



anyone knows why?
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DarkerLine
ceci n'est pas une |


Super Elite (Last Title)


Joined: 04 Nov 2003
Posts: 8328

Posted: 25 Mar 2004 06:36:45 pm    Post subject:

roms2003 wrote:
Quote:
substitute: u
for: sec (u)^-1
the result it´s: invalid target for substitution

try sec(x)^-1
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SonderMad


Newbie


Joined: 22 Mar 2004
Posts: 5

Posted: 26 Mar 2004 02:35:50 am    Post subject:

Quote:
try sec(x)^-1

This has been done.

Quote:
invalid target for substitution

Maybe the idea is that you should first specify the symbolic part you want to have substituted. In that case you should simply try to write x:

substitute: u
for: x

In my opinion smg turns a simple operation into a relatively complicated job –in ASI the syntax would simply have been: asiext\esub(sqrt(1-1/x^2),x,t=sec^-1(x)). Well anyway try to contact the programmer or some kind of support.

It has come to my attention that the V200 can’t find the integral of sqrt(1-1/x^2) or sin(t)*|sin(t)|/cos(t)^2 symbolically –it’s a bug Neutral
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