Math software comparison

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Double integrals

Since Mathematica and Maple do not have numerical integration and symbolic integration of double integrals is very limited, I compared Matlab 2009 and Double Integral Calculator Level 2(further DICL2) for double integrals.
Command double(int(int(exp(x^2-y^2),y,1-x,1-x^2),x,0,1)) in Matlab produced warning message and answer 0.1675 . DICL2 gave 0.1674916789706. The speed was comparable. For double(int(int(sin(x)^cos(y),y,-cos(x),cos(x)),x,0,1) Matlab gave 0.7781, DICL2 gave 0.778061206981061 .
I had tried to increase number of digits in Matlab by command digits(15) and repeating double integrals. Time of calculations increased but the result was the same. From that I concluded that Matlab does not allow to increase precision of calculations in double integrals.
Conclusion: Double Integral Calculator Level 2 is the winner.