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 $x y ^ { 2 } = 2$ .

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The Answer of 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 $x y ^ { 2 } = 2$ .

Use the Change of Variables u=xyu = x yu=xy v=xy2v = x y ^ { 2 }v=xy2

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