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Setting Up Triple Integral

  • #1

Homework Statement


Set up the triple integral for the region bounded by:

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


Homework Equations





The Attempt at a Solution


[tex] y= ±sqrt(x); z=0 & z=x+1[/tex]
I'm just lost on how to find the x integral. I know the dz integral goes from [tex]z=0 to z=x+1[/tex], and I know the dy integral goes from [tex]y=-sqrt{x} to +sqrt{x}[/tex]. I also know if we set 0=x+1, we get x=1, but how do I find the remaining limit of integration?
 

Answers and Replies

  • #2
I like Serena
Homework Helper
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Hi stratusfactio! :smile:

Your maximum z is a little off, it should be 1-x.

As for x, what's wrong with 0 to 1?
(I suggest you try to make a drawing.)
 

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