Recent content by arsmath

i think you're right, and I appreciate the feedback. . .so I'll try to hit it from another angle. thanks

I'm studying improper integrals for a "topics in advanced math" course. . .the proof is lengthy and involves double integrals and polar coords

my fault i posted in the other forum before finding this one which I think may be more appropriate.

that is my all time favorite xkcd comic.

I think that may help.

ok here goes: from 0-∞∫ x²e^-x²dx u= x² dv = e^-x²dx du=2xdx v=∫e^-x²dx (x²∫e^-x²dx) – (2∫xdx)(∫e^-x²dx) since I have that from 0-∞∫ e^-x²dx = √∏/2 I have x²(√∏/2) -√∏ which when evaluated on the interval 0-∞ goes to ∞. . . This makes me think I’ve done it incorrectly

its the euler poisson gaus integral and evaluate it as a double integral, to be honest the proof is a bit over my head.

I am working on an integral I am finding tricky, and I think I'm missing something. I need to integrate on the interval 0 to infinity, x²e^-x². We have proved that on the interval of -∞ to ∞, e^-x²=√∏ so from o to ∞, it equals √∏/2. I can use this in my proof, but I don't see how. When I try...

I am working on an integral I am finding tricky, and I think I'm missing something. I need to integrate on the interval 0 to infinity, x²e^-x². We have proved that on the interval of -∞ to ∞, e^-x²=√∏ so from o to ∞, it equals √∏/2. I can use this in my proof, but I don't see how. When I...