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Calculator Tech Support =>
Technology & Calculator Open Topic
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roms2003
Newbie
Joined: 19 Mar 2004 Posts: 4
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Posted: 22 Mar 2004 04:26:43 am Post subject: |
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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
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Posted: 22 Mar 2004 09:24:52 am Post subject: |
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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
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Posted: 22 Mar 2004 12:12:30 pm Post subject: |
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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
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DarkerLine ceci n'est pas une |
Super Elite (Last Title)
Joined: 04 Nov 2003 Posts: 8328
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Posted: 22 Mar 2004 05:23:42 pm Post subject: |
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Notice the [QUOTE] function. |
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SonderMad
Newbie
Joined: 22 Mar 2004 Posts: 5
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Posted: 23 Mar 2004 01:40:35 am Post subject: |
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[QUOTE]Notice the Quote: function.
I see;) |
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roms2003
Newbie
Joined: 19 Mar 2004 Posts: 4
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Posted: 23 Mar 2004 09:26:09 am Post subject: |
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>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
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Posted: 23 Mar 2004 11:32:56 am Post subject: |
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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
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Posted: 25 Mar 2004 10:24:33 am Post subject: |
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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
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Posted: 25 Mar 2004 06:36:45 pm Post subject: |
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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
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Posted: 26 Mar 2004 02:35:50 am Post subject: |
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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 |
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