MATLAB: Triplequad for solving integral

integrationMATLAB

I'm attempting to solve the integral: ∭D dxdydz/(x+y+z+1)^3 where D: x>0,y>0,z>0,x+y+z<2
, specifically with the use of the triplequad command. I'm having trouble determining the constant limits so I wonder if there is a way to allow for triplequad to use bounds that depend upon variables?
If not, is there anyone who happens to be able to determine the constant limits for me :)?
Thanks in advance!

Best Answer

I don't believe the 'triplequad' function will accept limits that depend on variables. However the function 'integral3' does accept variable limits for two of its limits. See its documentation at:
 http://www.mathworks.com/help/matlab/ref/integral3.html
Your particular integral is sufficiently simple that you could find its precise value using elementary calculus or the 'int' function in the Symbolic Toolbox instead of using numerical approximations.
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