Integrate the Function $f$ Over the Surface $S$ Let $S = \{ ( 2 u + v , u - v , u + 3 v ) : 0 \leq u \leq 2 \text { and } 0 \leq v \leq 1 \}$

Essay

Integrate the function $f$ over the surface $S$ Let $S = \{ ( 2 u + v , u - v , u + 3 v ) : 0 \leq u \leq 2 \text { and } 0 \leq v \leq 1 \}$ and $f ( x , y ) = e ^ { x }$