Use the Given Transformation to Evaluate the Integral $\iint _ { R } x y d A$

Multiple Choice

Use the given transformation to evaluate the integral. $\iint _ { R } x y d A$ , where R is the region in the first quadrant bounded by the lines $y = x , y = 3 x$ and the hyperbolas $y = 2 , x y = 4 ; x = \frac { u } { v } , y = v$ .

A) 9.447
B) 3.296
C) 8.841
D) 4.447
E) 5.088