Use the Given Transformation to Evaluate the Integral $$\begin{array} { l } u = y - x , v = y + x ; \\\quad \iint \cosh \left( \frac { y - x } { y + x } \right) d x d y\end{array}$$

question 110

Multiple Choice

Use the given transformation to evaluate the integral.
- $$\begin{array} { l } u = y - x , v = y + x ; \\\quad \iint \cosh \left( \frac { y - x } { y + x } \right) d x d y\end{array}$$
where $R$ is the trapezoid with vertices at $( 6,0 ) , ( 7,0 ) , ( 0,6 ) , ( 0,7 )$

• A) \(\frac { 13 \left( e ^ { 2 } - 1 \right) } { 6 e }\)
• B) \(\frac { 13 \left( \mathrm { e } ^ { 2 } - 1 \right) } { 3 \mathrm { e } }\)
• C) \(\frac { 13 \left( \mathrm { e } ^ { 2 } - 1 \right) } { 4 \mathrm { e } }\)
• D) \(\frac { 13 \left( \mathrm { e } ^ { 2 } - 1 \right) } { 2 \mathrm { e } }\)

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