(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Hey there, I'll be delighted to get some help in the following question:

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

[tex] x=1[/tex], [tex]x=2[/tex], [tex]x-y+1=0[/tex],

[tex]x-2y=2[/tex], [tex]x+y-z=0[/tex] , [tex]z=0[/tex]...

Write the integral [tex] \int \int \int_{A} f(x,y,z) dxdydz [/tex] as shown in the theorem above.

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

2. Relevant equations

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

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

[tex] \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 [/tex]...

3. The attempt at a solution

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# Homework Help: Triple Integral-Calculus

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