How do I integrate Symbolically?

How do I integrate Symbolically? - Messages

#1 Posted: 5/10/2018 8:23:24 PM
Ryu945

Ryu945

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How do I integrate symbolically?
#2 Posted: 5/10/2018 9:54:23 PM
Jean Giraud

Jean Giraud

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Wrote

How do I integrate symbolically ?


Generally, like this.

IndefiniteIntegral.PNG

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Davide Carpi 5/12/2018 3:23:00 AM
#3 Posted: 5/10/2018 10:35:04 PM
Jean Giraud

Jean Giraud

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... more procedures.

Integrate_000000 [ Source Code Maple].sm (9 KiB) downloaded 314 time(s).
#4 Posted: 5/11/2018 12:03:19 AM
Ryu945

Ryu945

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For reference, I just installed SMath. I installed maple. Where is the integrate sign located in the program?
#5 Posted: 5/11/2018 12:15:35 AM
Jean Giraud

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Wrote

... more procedures.



Wolfram Alpha integrator:

http://integrals.wolfram.com/index.jsp?expr=1%2F%28x%5E2%2B1%29&random=false
#6 Posted: 5/11/2018 2:24:05 AM
Ryu945

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What are you trying to say?
#7 Posted: 5/11/2018 8:17:25 AM
Jean Giraud

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Wrote

What are you trying to say?



1. Visit Wolfram Alpha for ultimate accuracy definite integral
2. Reproduce my first reply for indefinite integral .
3. Open the two attachments
4. Click on Smath menu to get the palette of stuff.

Palette.PNG
#8 Posted: 5/11/2018 8:22:03 AM
Jean Giraud

Jean Giraud

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1. Visit Wolfram Alpha for ultimate accuracy definite integral



http://www.wolframalpha.com/input/?i=integrate+x%5E(0.5-1)*exp(-x)+from+0+to+0.1

#9 Posted: 5/11/2018 8:37:42 AM
Jean Giraud

Jean Giraud

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What are you trying to say?



arcLength.PNG

#10 Posted: 5/11/2018 8:41:26 AM
Jean Giraud

Jean Giraud

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Wrote

What are you trying to say?



From the last reply:
1. click on the image, copy
2. paste in Smath
3. DIY [Do It Yourself]
#11 Posted: 5/11/2018 9:32:38 AM
Arie

Arie

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Wrote

Where is the integrate sign located in the program?



Hi Ryu

Welcome to the forums. Jean's first post outlined a how to create the indefinite integral, although it might not have been clear.

For example, to create the integral for x^2, you can type "int(x^2,x)" without quotes.

I do not believe there is a toolbar button for the indefinite integral.

-alyles
Feel free to join the SMath Studio Users Discord Channel: https://discord.gg/PayZpJW
#12 Posted: 5/11/2018 10:44:39 AM
Jean Giraud

Jean Giraud

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I do not believe there is a toolbar button for the indefinite integral



There was no palette indefinite integral in Smath 5346,
but from recollection, there was from f(x) menu.
Not reinstalled in 6179 ...

intOtherwise.PNG

#13 Posted: 5/11/2018 11:04:21 AM
Ryu945

Ryu945

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Thankyou. int( x^2,x) was what I was looking for (and I see now what that first picture was suppose to be /headdesk). I tried the example mentioned above with maple installed but I don't see the answer like I saw above. I see this instead.

integrate.png
#14 Posted: 5/11/2018 11:49:59 AM
Arie

Arie

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Try right click and change optimization to symbolic.

Also you can use symbolic evaluation by hitting Ctrl + . (That is Ctrl and period) instead of =
Feel free to join the SMath Studio Users Discord Channel: https://discord.gg/PayZpJW
#15 Posted: 5/11/2018 12:13:30 PM
Jean Giraud

Jean Giraud

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Thankyou. int( x^2,x) was what I was looking for



Copy the image, paste in blank work sheet ... try to do it yourself.
Try hard !!! rescue yourself by downloading the work sheet.
It should work in your latest Smath version.

Integrate Wisely [Arc Maple].sm (8 KiB) downloaded 137 time(s).


intDIY.PNG
#16 Posted: 5/11/2018 12:43:56 PM
Jean Giraud

Jean Giraud

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... be productive to integrate, try it.

intMaple.PNG
#17 Posted: 5/11/2018 1:44:31 PM
Jean Giraud

Jean Giraud

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... this attached example is of prime importance.
It shows by how much the Simpson integrator can be OFF track !
Not even the first decimal is true !

Integrate Wisely [Arc Lagrange].sm (44 KiB) downloaded 134 time(s).
#18 Posted: 5/11/2018 2:26:13 PM
Ryu945

Ryu945

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Thankyou for all of your assistance.
#19 Posted: 5/11/2018 2:40:36 PM
Ruben Sidranski

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Jean,
Your overloading Ryu945. This appears to be his first experience with this type of software. Slow down and teach/explain. Notice the way alyles responded.

Welcome to the forum Ryu945. Play with the software, look at the Wiki, search the forums. When in doubt, ask. Don't be surprised if someone responds to a link from several years back ... thus, search the forum first.
as you progress and have specific questions, please post/attach your sheet like Jean did. This will allow others to help without having to redo or guess your work. Also, there is one function that I recommend you add to all of your sheets, appversion(). In particular, appversion(3) and appversion(-3). This tells us what version you are currently working in and what version the sheet was last saved in. Not common, but over the years, some updates have broken older sheets.
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Davide Carpi 5/12/2018 3:23:00 AM
#20 Posted: 5/13/2018 11:35:29 AM
Martin Kraska

Martin Kraska

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Wrote

How do I integrate symbolically?



You can use the free computer algebra system (CAS) Maxima from within SMath Studio.

See the Maxima forum topic. There is also a pre-configured portable SMath-Distribution, see link in my signature.

The german Handbuch has a lot of material on using the Maxima interface. Besides doing symbolic math it also gives many examples on how to use Maxima based graphics functions.
Martin Kraska Pre-configured portable distribution of SMath Studio: https://en.smath.info/wiki/SMath%20with%20Plugins.ashx
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Davide Carpi 5/13/2018 1:09:00 PM, frapuano 5/16/2018 12:23:00 PM
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