The new TI-82 Advanced Edition Python

[Valentin Albillo]

.
Hi, Namir,

(12-08-2023 03:27 PM)Namir Wrote:  I just got from Amazon France the TI-82 Advanced Edition Python. [...] The first (and only thing I tested so far) thing I tested is the Integration. I used the improper Integrals that Valentin Albillo had suggested.

Congratulations on your acquisition and thanks for your interest in the (difficult) test integrals I posted. For the record and for the benefit of readers who might want to try them using their models or programs, a few are included at the end of this message.

Quote:The calculator gave answers but they were accurate to 4 or 5 decimal places!! I found it to be interesting!

You can up the interest an order of magnitude or two by posting the precise results you get and the timing, so comparisons with other models/programs will be possible. Any further comments by you would be appreciated as well.

Thanks in advance and regards.
V.

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A few difficult integrals:
      
• Do not use CAS or any symbolic integration, it would be pointless, without merit and would demonstrate nothing, you should stick to purely numeric results (not evaluation of a symbolic integration.)
        
• Do not perform manual substitutions or convert the integrand and iimits of integration to something else, the machine must do all the work without help from you, just give it the unmodified integrand, the limits of integration, and a few settings if needed (FIX/SCI/ENG mode or # of subintervals or some desired relative/absolute error) and that's it.
  
  
  Code:
  

         / 1
I1 =   |   cos(x)*ln(x) .dx =  -0.946083070367183014941
       / 0 

       / 1
I2 =   |   1/√x .dx =  2 
       / 0
  Code:
  

         / 1
I3 =   |   Ln(Gamma(x)) .dx = 0.9189385332046727417803297364
       / 0 

       / 1
I4 =   |   1/√(-Ln(x)) .dx = 1.7724538509055160272981674833411
       / 0
  Code:
  

         / 1
I5 =   |   x^(-0.99) .dx = 100
       / 0 

       / 1
I6 =   |   sin(tan(tan(∏x)))^2 .dx = 0.39099216215153045453170988
       / 0
  Code:
  

         / 1
I7 =   |   exp(x+sin(exp(exp(exp(x+1/3))))) .dx = 2.996339811976535379182861556235501887668...
       / -1
  Code:
  

          / Inf
I11 =   |     sin(x)*sin(x^2) .dx = 0.491695777984
        / 0 

        / 1
I12 =   |    cos(ln(x)/x)/x .dx = 0.323367431678
        / 0
  Code:
  

          / 1
I13 =   |    sin(1/x)/x .dx = 0.624713256428
        / 0 

        / 2
I14 =   |    x^(Pi/4)*sin(Pi/4/(2-x) .dx = 1.01123909053  (a relatively easy one)
        / 0