Simple problems that Wolfram can't do

[Steve Zissou]

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!

 

[renormalize]

But Wolfram Mathematica has no problem:

I guess Alpha is a stripped-down Mathematica Lite!

 

[Steve Zissou]

But Wolfram Mathematica has no problem:
View attachment 360674
I guess Alpha is a stripped-down Mathematica Lite!

Well that's weird.

 

[fresh_42]

https://www.integral-calculator.com/ works.

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• fresh_42
• Calculators Earth List Physics
• Replies: 0
• Forum: General Math

• 
• 

 

[Steve Zissou]

Cool!

 

[vela]

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.

 

[BWV]

FWIW ChatGPT got it

 

[Steve Zissou]

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?

 

[Steve Zissou]

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.

 

[pines-demon]

WolframAlpha cannot do simple contour integration. Can it?

 

[Steve Zissou]

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.

 

[pasmith]

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.

 

[Steve Zissou]

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

 

[dextercioby]

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.

 

[Steve Zissou]

Thanks @dextercioby !