Triplequad for solving integral
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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!
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Roger Stafford
2013-10-5
The region of integration in your problem is such that you cannot use constant limits of integration with the triple integral in its present form. You would have to make a change of variables to be able to do that.
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Roger Stafford
2013-10-5
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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