Question

Find the volume of solid bounded by first octant and the plane x+y+z=1.

Answer 1

That would be \[\int\limits_{0}^{1}\int\limits_{0}^{1}1-x-y \space dx \space dy\]
Right?

Answer 2

looks good

Answer 3

Really? because when I calculate it, I got -1/2, which doesn't make sense...

Answer 4

sorry its not right

Answer 5

hmm, I rechecked and I now got 0. must have done it wrong on first try, but 0 still don't make sense...

Answer 6

x : 0 -> 1
y : 0 -> -x+1