#The question is#

Calculate the double integral where D is an area enclosed by the following lines, ,, and

I have tried doing it the following way but its wrong and I cant seem to get it working. Any help would be appreciated

NIntegrate[ Boole[-9 <= 6 x + 5 y <= 9 && -7 <= 3 x + 6 y <= 7], {x, -Infinity, Infinity}, {y, -Infinity, Infinity} ] 

The question is:

Calculate the double integral $$\iint_D (18x^2+51xy+30y^2)^2\,dx\,dy$$ where $D$ is an area enclosed by the following lines: $$6x+5y=9,\quad 6x+5y=-9,\quad 3x+6y=7, \quad 3x+6y=-7$$

I have tried doing it the following way but it's wrong and I can't seem to get it working.

NIntegrate[ Boole[-9 <= 6 x + 5 y <= 9 && -7 <= 3 x + 6 y <= 7], {x, -Infinity, Infinity}, {y, -Infinity, Infinity} ] 

#The question is#

Calculate the double integral where D is an area enclosed by the following lines, ,, and

I have tried doing it the following way but its wrong and I cant seem to get it working. Any help would be appreciated

NIntegrate[ Boole[-9 <= 6 x + 5 y <= 9 && -7 <= 3 x + 6 y <= 7], {x, -Infinity, Infinity}, {y, -Infinity, Infinity} ]

#The question is#

Calculate the double integral where D is an area enclosed by the following lines, ,, and

I have tried doing it the following way but its wrong and I cant seem to get it working. Any help would be appreciated

NIntegrate[ Boole[-9 <= 6 x + 5 y <= 9 && -7 <= 3 x + 6 y <= 7], {x, -Infinity, Infinity}, {y, -Infinity, Infinity} ] 

#The question is#

Calculate the dubble integral where D is an area enclosed by the following lines, ,, and

I have tried doing it the following way but its wrong and I cant seem to get it working. Any help would be appreciated

NIntegrate[ Boole[-9 <= 6 x + 5 y <= 9 && -7 <= 3 x + 6 y <= 7], {x, -Infinity, Infinity}, {y, -Infinity, Infinity} ]

#The question is#

Calculate the double integral where D is an area enclosed by the following lines, ,, and

I have tried doing it the following way but its wrong and I cant seem to get it working. Any help would be appreciated

NIntegrate[ Boole[-9 <= 6 x + 5 y <= 9 && -7 <= 3 x + 6 y <= 7], {x, -Infinity, Infinity}, {y, -Infinity, Infinity} ]