The Line Integral $\int$ C $( x y - z ) d x + e ^ { x } d y + y d z$

Multiple Choice

The line integral $\int$ C $( x y - z ) d x + e ^ { x } d y + y d z$ , where C is the line segment from (1,0,0) to (3,4,8) , is

A) $\frac { 6 \left( e ^ { 3 } + e \right) + 52 } { 3 }$
B) $\frac { 6 \left( e ^ { 3 } - e \right) + 52 } { 3 }$
C) $\frac { 6 \left( e ^ { 3 } + e \right) - 52 } { 3 }$
D) $- \frac { 6 \left( e ^ { 3 } + e \right) + 52 } { 3 }$
E) $\frac { 6 \left( e ^ { 3 } + e \right) + 52 } { 5 }$