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September 29th, 2018, 09:40 AM  #1 
Newbie Joined: Feb 2016 From: Durham Posts: 8 Thanks: 1  How to change the order of integration in 3D?
I have been working on a problem that requires me to integrate in the following way: $$\int_{0}^{\infty} \int_{0}^{y} \int_{0}^{yx} f(x,y,z)\ dzdxdy$$ I would like to change the order of integration, with dz going last. For the dydxdz option, I've got: $$\int_{0}^{\infty} \int_{0}^{\infty} \int_{x+z}^{\infty} f(x,y,z)\ dydxdz$$ Is this correct? And what would the dxdydz option look like? Thanks in advance for any help! 
September 29th, 2018, 03:35 PM  #2  
Senior Member Joined: Sep 2016 From: USA Posts: 599 Thanks: 366 Math Focus: Dynamical systems, analytic function theory, numerics  Quote:
 

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3d, calculus, change, integration, order 
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