0 ≤ х ≤1
-x^2 ≤y ≤∛x
∫ ∫_(D) (8xy+18x^2·y^2)dxdy=
= ∫ ^(1)_(0) dx ∫ ^(∛x)_(-x^2)(8xy+18x^2y^2)dy=
= ∫ ^(1)_(0) (8x*(y^2/2)+18x^2*(y^3/3))|^(y=∛x)_(y=-x^2) dx=
= ∫ ^(1)_(0)(8x*((∛x)^2/2)-8x*((-x^2)^2/2)+18x^2*((∛x)^3/3)-18x^2*((-x^2)^3/3) )dx=
= ∫ ^(1)_(0) ( 4x^(5/3) -4x^5+6x^3+6x^8)dx=
=(4*(x^(8/3)/(8/3))-4*(x^6/6)+6*(x^4/4)+6*(x^9/9))|^(1)_(0)=
=(12/8)-(2/3)+(3/2)+(2/3)= дальше- то сосчитаете самостоятельно....