I don't know how to calculate the surface area after setting everything up. I have tried both MAPLE 15 program and wolfram alpha, but I can't find the answer.

I have the function:
f(x,y)= x*(y^2)*e^-((x^2+y^2)/4)

The form I found for surface are was the square root of (sum of squares of partials with respect to x and y).
The work I have so far
∫∫√(e^(-(x^2+y^2)/4))*(y^4-(3x^2*y^4)+(4y^2*x^2)+((x^4*y^4)/4)+((x^2*y^6)/4)+1 dx dy
I have to integrate from -3 to 3 for both x and y.
I have tried putting it into MAPLE 15, but it won't solve the function for a value.
What should I do? I

Question

I don't know how to calculate the surface area after setting everything up. I have tried both MAPLE 15 program and wolfram alpha, but I can't find the answer.

I have the function: 
f(x,y)= x*(y^2)*e^-((x^2+y^2)/4)

The form I found for surface are was the square root of (sum of squares of partials with respect to x and y).
The work I have so far
∫∫√(e^(-(x^2+y^2)/4))*(y^4-(3x^2*y^4)+(4y^2*x^2)+((x^4*y^4)/4)+((x^2*y^6)/4)+1 dx dy
I have to integrate from -3 to 3 for both x and y. 
I have tried putting it into MAPLE 15, but it won't solve the function for a value. 
What should I do? I

anonymous · Answer

This is probably not a good answer for you but...you could try using z=(your equation) instead of f(x,y)= your equation.  Maybe then it could find the area, but I'm not totally sure, just throwing new ideas out there for you.  Programs are picky