. Using , we get the result to be 6x+2z.
2. Find the Laplacian of .
3. Determine
Only the delta function at x=0 contributes because the argument of the first delta function is not in the limits of integration. The result is .
4. Evaluate .
In this case is inside the limit of integration. Thus the result is
. . .
.
.
. Using 
, we get the result to be 6x+2z.
is not in the limits of integration. The result is 
.
is inside the limit of integration. Thus the result is 