All the functionality of NumericalMath`NIntegrateInterpolatingFunct` is now available in the newly created Function Approximations Package.
To access functionality from the new Function Approximations Package, load FunctionApproximations`:
Version 5.2
![<< NumericalMath`NIntegrateInterpolatingFunct`;
sin = Interpolation[
Flatten[Table[{x, y, Sin[x y]}, {x, 0, 4, .5}, {y, 0, 4, 0.5}], 1]];
NIntegrateInterpolatingFunction[sin[y^2, x^2]^2, {x, 0, 2}, {y, 0, 2}]](Files/NIntegrateInterpolatingFunct.zh/legacy_1.gif)
<<FunctionApproximations`;
sin = Interpolation[Flatten[Table[{x, y, Sin[x y]}, {x, 0, 4, .5}, {y, 0, 4, 0.5}], 1]];
NIntegrateInterpolatingFunction[sin[y ^ 2, x ^ 2] ^ 2, {x, 0, 2}, {y, 0, 2}]