Use the Change of Variables $u = x y$ $v = x y ^ { 2 }$

Short Answer

Use the change of variables $u = x y$ , $v = x y ^ { 2 }$ to evaluate $\iint _ { R } y ^ { 2 } d A$ , where R is the region bounded by the curves xy = 1, xy = 2, $x y ^ { 2 } = 1$ , and $x y ^ { 2 } = 2$ .