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

Find the volume of the region which is bounded by the parabolic cylinders y=x², x=y² and z=x+y and z=0

2. Relevant equations

3. The attempt at a solution

I solved x=y² for y, and set that equal to y=x², and I got the intersection of the two parabolic cylinders to be at x=1. So I set it up as follows

∫∫∫ dzdydx R={(x,y,z)l 0<x<1,x²<y<sqrt(x), 0<Z<x+y}

(Preted my < are actually < and equal to signs)

I was wondering if someone could tell me if my set up is correct.

Thank you.

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# Homework Help: Triple integral, 2 parabolic cylinders

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