Use the transformation
u=3x+2y,v=x+3y
to evaluate the given integral for the region
R
bounded by the lines
y=-(3)/(2)x+3,y=-(3)/(2)x+4,y=-(1)/(3)x
, and
y=-(1)/(3)x+1
∬_(R)(3x^(2)+11xy+6y^(2))dxdy