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this is my interp; which could be wrong :)
\[\int_{0}^{4}\int_{z}^{4}\int_{y}^{4}f(x,y)\ dx.dy.dz\]
if im right; it keeps track of the movement of each piece from lowest to highest; the lowest point of x is x = y ; the highest point of x is x=4 the lowest point of y is y = z ; the highest point of y is y=4 the lowest point of z is z = 0 ; the highest point of z is z=4
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