Using a change of variables, the double integral $\iint$_{R $\frac { x y } { 1 + x ^ { 2 } y ^ { 2 } } d A$}where R is the region bounded by xy = 1, xy = 4, x = 1, and x = 4 is A) $\frac { \ln \left( \frac { 15 } { 2 } \right) \ln 4 } { 2 }$ B) $- \frac { \ln \left( \frac { 15 } { 2 } \right) \ln 4 } { 2 }$ C) $\frac { \ln \left( \frac { 13 } { 2 } \right) \ln 4 } { 2 }$ D) $\frac { \ln \left( \frac { 17 } { 2 } \right) \ln 4 } { 2 }$ E) $- \frac { \ln \left( \frac { 17 } { 2 } \right) \ln 4 } { 2 }$

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The Answer of Using a change of variables, the double integral $\iint$_{R $\frac { x y } { 1 + x ^ { 2 } y ^ { 2 } } d A$}where R is the region bounded by xy = 1, xy = 4, x = 1, and x = 4 is A) $\frac { \ln \left( \frac { 15 } { 2 } \right) \ln 4 } { 2 }$ B) $- \frac { \ln \left( \frac { 15 } { 2 } \right) \ln 4 } { 2 }$ C) $\frac { \ln \left( \frac { 13 } { 2 } \right) \ln 4 } { 2 }$ D) $\frac { \ln \left( \frac { 17 } { 2 } \right) \ln 4 } { 2 }$ E) $- \frac { \ln \left( \frac { 17 } { 2 } \right) \ln 4 } { 2 }$

Using a Change of Variables, the Double Integral ∬\iint∬ R xy1+x2y2dA\frac { x y } { 1 + x ^ { 2 } y ^ { 2 } } d A1+x2y2xy​dA

Using a Change of Variables, the Double Integral $\iint$ _{R $\frac { x y } { 1 + x ^ { 2 } y ^ { 2 } } d A$}