My app won't do this integral

[Air conditionner]

Hi,
There's an integral I'm plugging into an integral calculator, and it won't calculate it.
When I write this one: , which was the original exercise, it says that it's convergent.
But when I write this one: , the apps bugs.
Can anyone help me? I'm perplexed as to why the app doesn't want to compute it.

 

[Deleted member 4993]

Hi,
There's an integral I'm plugging into an integral calculator, and it won't calculate it.
When I write this one: View attachment 30668, which was the original exercise, it says that it's convergent.
But when I write this one: View attachment 30669, the apps bugs.
Can anyone help me? I'm perplexed as to why the app doesn't want to compute it.

Because the integrand for the second problem diverges when x → ∞

 

[Air conditionner]

But, why didn't the app write ``divergent``, then?

 

[Dr.Peterson]

Because the integrand for the second problem diverges when x → ∞

The integrand does go to zero, but much more slowly, so that the integral diverges.

@Air conditionner, are you looking for a way to prove that it diverges, or are you just surprised at the possibility?

But, why didn't the app write ``divergent``, then?

Does it usually say so explicitly? Wolfram Alpha says so. Maybe you have to report a bug to the app's developer!

 

[Air conditionner]

The integrand does go to zero, but much more slowly, so that the integral diverges.

@Air conditionner, are you looking for a way to prove that it diverges, or are you just surprised at the possibility?


Does it usually say so explicitly? Wolfram Alpha says so. Maybe you have to report a bug to the app's developer!

No, no, I found that it diverged, I was just surprised that the app wouldn't do it... while it did well the same thing with a ``+`` sign. It's very weird.
That's all, thanks!

 

[Steven G]

That change of sign can really change the function. Don't think otherwise.