Evaluate $\int _{ -\infty }^{ \infty }{ x{ e }^{ -{ x }^{ 2 } } } dx\quad$ !!!

Level 2

Hurry! This problem is an entry to the Troll King Contest!!!

The answer is 1.

1 solution

Michael Mendrin
Mar 20, 2015

The definite integral of the antisymmetric, or odd, function, is 0, but 0!!! = 1

Nice question sir , but sorry I wasn't trolled !!

A Former Brilliant Member - 6 years, 2 months ago

Eh, I knew I should have put this problem in tensor form.

Michael Mendrin - 6 years, 2 months ago

I was trolled but since I tried different answers I got it .

Ronak Agarwal - 6 years, 2 months ago

That was a nice one sir.

At first attempt I got trolled but succeeded over it at second attempt. (That factorial signs didn't catch my attention at once).

Kishlaya Jaiswal - 6 years, 2 months ago

Ha. You fooled me once .... but not twice. :P

Brian Charlesworth - 6 years, 2 months ago

We are still waiting for

1) An entry from Brian Chalesworth

2) An entry from John Muradeli

Soumo Mukherjee - 6 years, 2 months ago

O.k., here is my (rather lame) entry. :P

@Michael Mendrin

Brian Charlesworth - 6 years, 2 months ago

Go ahead try trolling me

Michael Mendrin - 6 years, 2 months ago

Oh, i was fooled! i just pressed 0 and then pressed show solution, should have seen those factorials

But this is the best troll question so far

Mvs Saketh - 6 years, 2 months ago

After failing with the 0 answer I thought the trolling part regarded the principal value of Cauchy, but luckly I saw the exclamation points and answered correctly on the second try. Nice!

Andrea Palma - 6 years, 2 months ago

Evaluate ∫ − ∞ ∞ x e − x 2 d x \int _{ -\infty }^{ \infty }{ x{ e }^{ -{ x }^{ 2 } } } dx\quad ∫ − ∞ ∞ ​ x e − x 2 d x !!!

The answer is 1.

1 solution

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Evaluate $\int _{ -\infty }^{ \infty }{ x{ e }^{ -{ x }^{ 2 } } } dx\quad$ !!!