Evaluate $\int _ { C } \mathbf { F } d \mathbf { r }$

question 232

Multiple Choice

Evaluate $\int _ { C } \mathbf { F } d \mathbf { r }$ where $\mathbf { F } ( x , y , z ) = \left\langle \frac { z } { x - z } , \frac { z } { y - z } , \ln ( x - y ) \right\rangle$ and C is any curve from $( 2,1 , - 5 )$ to $\left( e ^ { 2 } , 0,2 \right)$ .

• A) \(6\)
• B) \(- 2\)
• C)\(- 4\)
• D) \(1\)
• E) \(- 6\)
• F)\(2\)
• G)\(4\)
• H) \(0\)

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