How can we determine this integral is convergent or divergent?

[median epoch]

This is Gaussian intergral and if you want to know the answer of this u can use double integral

[daring pecan]

Can we use integration by parts method

Idk how to use double integral

[manic hawk]

it is not an elementary integral
integration by parts will fail here too

[daring pecan]

Oh i see

[median epoch]

But it's important

[manic hawk]

I mean directly doing it will not give any solution

[median epoch]

I know

You can use Laplace

[wanton summit]

@median epoch
It is in fact an elementary integral
not the Gaussian integral

because there are an x factor with the e^-x²

[manic hawk]

yeah I was thinking about that too

[manic hawk]

I thought it was that

didn't notice the x

[median epoch]

Opps sorry

[median epoch]

But idk how to use

😅

[manic hawk]

I think you can separate this integral for negative infinity to 0 and 0 to infinity

[manic hawk]

then probably u-sub will work

[wanton summit]

||Hint : use an u-substituion||

[daring pecan]

Yes it works

Thank you for helping

[wanton summit]

!done

[upbeat frost]

If you are done with this channel, please mark your problem as solved by typing .close

[daring pecan]

.close