>there are "people" on this board who actually find

>>8684715
But where else on 4chan will I get my facebook-tier brainteasers and a safe space to bitch about the american education system?

>>8684736
Facebook?

File: Capture.png (3KB, 256x70px) Image search: [Google]

3KB, 256x70px

>>8684715
get started OP

>>8685230
Integral is non-elementary

>there are "people" on this board who are NOT spergers

>>8685232
you'll get an F for that

i want an exact value of the integral, not an anti-derivative

>>8685237
wtf I just want to go to med school

>>8685230

[math] \int_0^1 \int_0^1 \int_0^1 \dfrac{1}{1-x·y·z} dx\, dy\, dz [/math]

[math] = \int_0^1 \int_0^1 \int_0^1 \sum_{n=0}^\infty (x·y·z)^n \, dx\, dy\, dz [/math]

[math] = \sum_{n=0}^\infty \left( \int_0^1 u^n \, du \right)^3 [/math]

[math] = \sum_{n=0}^\infty \dfrac{1}{n^3} [/math]

[math] = \zeta(3) [/math]

>>8685257
Btw. this works for all natural s>1 if you go from 3 to other numbers of variables

STOP bulllying brainlets!!!

>>8685257
The last sum has a division by zero you fucking retard

>>8685495
That term should just be [math] ( \int_0^1 du ) ^ 3[/math].