with the following input:

with(VectorCalculus);

X := r -> sqrt(2/Pi)*alpha*exp(-alpha^2*(r.r));

a_0:=a*<1/(2*sqrt(3) , 1/2>;

r:=<x,y>;

K:=<k_1, k_2>;

assume(alpha::real);

assume(alpha>0);
assume(k_1>0);

assume(k_2>0);

assume(k_1::real);

assume(k_2::real);

eq1:=int( X(r-a_0) , x=-infinity .. infinity);

Why is the ouput :

Thanks to everyone who helped me with the last question. Unfortunately its a double integral, so its even more complicated than I think the program can handle. I tried to approximate the function with mtalyor

l := sqrt(1+cos(x)*cos(y)*cos(x+y));

however when I plot this function as for example:

w = mtaylor(l, [x, y], 5)

this function gets worse and worse, it gets flatter, and flatter,...

I was trying to evaluate a difficult integral on maple analiticaly but after about 5 minutes its output is the integral itself. Something like a=a; is it timing out? How can I change this to let it run for a longer period of time? Also I doubt that there is an analytic solution, so I tried to do a numerical computation, with the assumption that (a>0), and it gave the following output:

Also the original expression that Im trying to integrate...

I've been trying to evaluate another integral, like exp(-(alpha*x)^2) from 0, to infinity;

However it expresses the answer as a limit of some function(alpha), how do I get the integral to come out more exactly?

Thanks

I was trying to evaluate a 2-dimensional integral, but my answer contained an expression like pi/pi^2;  even trying to simplify this did not reduce the fraction properly. Why does this happen, and how can I get it to display the answer properly?

Thanks