The answer is 5/12.
I will post the entire thing if /sci/ can't solve it later.
(1/2)
A dog could solve this.
(2/2)
>>9101380
Idiot
>>9101169
This is right
Integrate with the yz plane as the base, this way the outer two integrals are both from 0 to 1. The height is from 0 to the plane x + y + z = 2.