Home /
Expert Answers /
Calculus /
use-the-transformation-u-3x-2y-v-x-3y-to-evaluate-the-given-integral-for-the-region-r-bounded-by-th-pa386

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`