> int(abs(x), x = -1 .. 1);
                               1
> int(sign(x)*abs(x), x = -1 .. 1);
                               1
> int('sign(x)'*abs(x), x = -1 .. 1);

Maple can do:

assume(H>0)

I'm trying to calculate:

int(int((2-3*(x+y)+6*x*y)*(abs(x)^(2*H)+abs(y)^(2*H)+abs(x-y)^(2*H)), x = 0 .. 1), y = 0 .. 1);

where H is a number between 0 and 1 non-inclusive.

Maple seems not to be able to handle this even though it can calculate:

int(int((2-3*(x+y)+6*x*y)*(abs(x)^(2)+abs(y)^(2)+abs(x-y)^(2)), x = 0 .. 1), y = 0 .. 1);

I.e. without the H

Is there a way around this?

Often when I have an integral maple returns the result as a limiting expression.

However the limit's value is clear. Is there any way to force maple to evaluate the limit?

Any help is greatly appreciated.

I can calculate: