- #1
aliaze1
- 174
- 1
Homework Statement
Find the volume of the tetrahedron in the first octant bounded by the coordinate planes and the plane passing through (1,0,0), (0,2,0) and (0,0,3)
Homework Equations
V=∫∫∫dV
...D
The Attempt at a Solution
I set up the problem as so:
1 -2x+2...-3x+3
∫ ∫...∫...dz dy dx
0 0...0
(the dots are not significant, they are only for spacing)
and integrated...
the result is -1, but this is wrong because:
1. a volume cannot be negative
2. the book answer is 1