Simple problems that Wolfram can't do

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Discussion Overview

The discussion revolves around the limitations of Wolfram Alpha in solving certain mathematical problems, particularly integrals. Participants share their experiences with Wolfram Alpha and compare it to Wolfram Mathematica and other online calculators, exploring the reasons behind its perceived shortcomings.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant shares an integral problem that Wolfram Alpha fails to solve, suggesting it may not handle certain simple problems effectively.
  • Another participant claims that Wolfram Mathematica can solve the same problem, implying that Wolfram Alpha is a limited version.
  • Some participants mention that they have successfully obtained answers from Wolfram Alpha after resubmitting the problem, indicating potential resource limits in the free version.
  • Concerns are raised about Wolfram Alpha's ability to perform contour integration, with participants expressing uncertainty about how to specify complex variables or contours.
  • A participant notes that Wolfram Alpha's capabilities seem to have diminished over time compared to past experiences.
  • Alternative online calculators are suggested as reliable options for solving integrals.

Areas of Agreement / Disagreement

Participants express mixed views on Wolfram Alpha's capabilities, with some agreeing on its limitations while others share experiences of it providing correct answers under certain conditions. The discussion remains unresolved regarding the extent of its limitations and the reasons behind them.

Contextual Notes

Participants mention potential resource limits of the free version of Wolfram Alpha, as well as challenges in specifying parameters for complex integrals. There is also a reference to varying experiences with the tool over time.

Steve Zissou
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Hi everyone, I thought I would share a thought - apparently simple problems that Wolfram can't seem to handle. I'll go first:
$$ \int_{0}^{\infty}e^{-x^p}dx=\frac{1}{p}\Gamma\left( \frac{1}{p} \right) $$
Entering this into Wolfram alpha:
Integrate[Exp[-x^p],{x,0,\infty}]
Gets you nowhere. Ha!
Please share your own frustrations also. Thanks!
 
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But Wolfram Mathematica has no problem:
1746389059318.webp

I guess Alpha is a stripped-down Mathematica Lite!
 
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renormalize said:
But Wolfram Mathematica has no problem:
View attachment 360674
I guess Alpha is a stripped-down Mathematica Lite!
Well that's weird.
 
https://www.integral-calculator.com/ works.

Happily brought to you by our useful list of calculators:

1746390294240.webp
 
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Cool!
 
Steve Zissou said:
Hi everyone, I thought I would share a thought - apparently simple problems that Wolfram can't seem to handle. I'll go first:
$$ \int_{0}^{\infty}e^{-x^p}dx=\frac{1}{p}\Gamma\left( \frac{1}{p} \right) $$
Entering this into Wolfram alpha:
Integrate[Exp[-x^p],{x,0,\infty}]
Gets you nowhere. Ha!
Please share your own frustrations also. Thanks!
I got Wolfram Alpha to give me the correct answer by submitting the problem again right after it failed the first time. I think you're just running into resource limits of the free version.
 
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FWIW ChatGPT got it

1746474166364.webp
 
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vela said:
I got Wolfram Alpha to give me the correct answer by submitting the problem again right after it failed the first time. I think you're just running into resource limits of the free version.
@vela Whoa that's unexpected. So it will do it, but there is some resource limits that I was unaware of?
 
BWV said:
FWIW ChatGPT got it

View attachment 360706
@BWV Ok that's unexpected. I've had AI give some wacky math answers so I haven't tried using that tech for a while for math.
 
  • #10
WolframAlpha cannot do simple contour integration. Can it?
 
  • #11
pines-demon said:
WolframAlpha cannot do simple contour integration. Can it?
I'm not sure how to tell WolframAlpha if certain variables are complex, real, or any sort of bounds on parameters.
 
  • #12
pines-demon said:
WolframAlpha cannot do simple contour integration. Can it?

You would have to tell it what the contour is; I'm not sure the UI is up to that.
 
  • #13
Ok I kid you not on this one:
Integrate[t^(z-1)*Exp[-t],{t,0,\infty}]
Yields the answer:

Try the following:​

  • Use different phrasing or notations
  • Enter whole words instead of abbreviations
  • Avoid mixing mathematical and other notations
  • Check your spelling
  • Give your input in English
 
  • #14
I remember wolframalpha as more capable in the past (at least for the no-account, no pay version which I used). Sadly, it appears not to be the case anymore. So we switch to https://www.integral-calculator.com/. For good.
 
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