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Different results for integration
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Joined: 23/05/2019(UTC) Posts: 10 Location: Brazil
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Hi. I've been trying some silly problems in dynamics in Smath. Came across an integration expression and tried to do it numerically. Then, I tried with another "int" function and came out different results. My questions is: should we always take on Maxima plugin's expression? Another question, can we do symbolic diff() and returning the expression? exm_12_2_din.sm (11kb) downloaded 11 time(s).Thanks
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Rank: Administration Groups: Registered, Advanced Member Joined: 23/06/2009(UTC) Posts: 1,740 Was thanked: 318 time(s) in 268 post(s)
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Hello, There were mistakes in your file. You should pay attention to definite and indefinite integrals and the function arguments when using definite integrals. See the picture with corrections and hover the expressions in the file to see the difference. exm_12_2_din-2corr.sm (13kb) downloaded 14 time(s).Regards, Radovan |
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Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)
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Originally Posted by: mgklein I've been trying some silly problems in dynamics in Smath. Came across an integration expression and tried to do it numerically. Then, I tried with another "int" function and came out different results. My questions is: should we always take on Maxima plugin's expression? Another question, can we do symbolic diff() and returning the expression? Good idea to save Carlos adaptive integration. Exceptional numerical integrator that meets Mathcad/Mathsoft Adaptive.I have exhausted this integrator, it ranges from exact2atleast 6/8 decimals. Hope it clarifies your questions ... Jean exm_12_2_din Sanity.sm (29kb) downloaded 11 time(s).
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Rank: Member Groups: Registered
Joined: 23/05/2019(UTC) Posts: 10 Location: Brazil
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omorr wrote:Hello,
There were mistakes in your file. You should pay attention to definite and indefinite integrals and the function arguments when using definite integrals. See the picture with corrections and hover the expressions in the file to see the difference.
Regards, Radovan I see what you did but with respect to "t" and "x". Just to be clear, the definite integral k(t) goes diffent because of the Constant? The constant C=0 and the expression is evaluated for t=4? I think I get it now. Thanks, Rodovan. Jean Giraud wrote:Good idea to save Carlos adaptive integration. Exceptional numerical integrator that meets Mathcad/Mathsoft Adaptive. I have exhausted this integrator, it ranges from exact2atleast 6/8 decimals. Hope it clarifies your questions ... Jean
Sure it does. I'll test this code. Thanks, Jean.
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