Let A be the region in space bouded by the next planes:

\(\displaystyle x=1\), \(\displaystyle x=2\), \(\displaystyle x-y+1=0\),

\(\displaystyle x-2y=2\), \(\displaystyle x+y-z=0\) , \(\displaystyle z=0\)...

Write the integral \(\displaystyle \int \int \int_{A} f(x,y,z) dxdydz \) as shown in the next theorem:

Let E be a closed region with a surface in R^2 and let \(\displaystyle g^1, g^2\(\displaystyle be two real functions, continous in E. Let's look at A:

\(\displaystyle A=( (x,y,z)|(x,y) \in E, g^1(x,y)\leq z \leq g^2(x,y) \). Then if f is a continous function with 3 variables, continous in A, then:

\(\displaystyle \int \int \int_{A} f(x,y,z) dxdydz = \int \int_{E} (\int_{g^1(x,y)}^{g^2(x,y)} f(x,y,z)dz) dxdy \)...

The problem is I can't figure out how the region A looks like...

Hope you'll be able to help me dealing with this question...

Thanks in advance\)\)