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 $f ( x , y ) = e ^ { x }$

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The Answer of 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 $f ( x , y ) = e ^ { x }$

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

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