The line integral $\int $C $( x + y ) d x + ( y + z ) d y + ( x + z ) d z$ , where C is the line segment from (0,0,0) to (1,2,4), is

A) $\frac { 39 } { 2 }$
B) $\frac { 37 } { 2 }$
C) $\frac { 35 } { 2 }$
D) $\frac { 33 } { 2 }$
E) $\frac { 31 } { 2 }$

Question

The line integral $\int $C $( x + y ) d x + ( y + z ) d y + ( x + z ) d z$ , where C is the line segment from (0,0,0) to (1,2,4), is

A) $\frac { 39 } { 2 }$
B) $\frac { 37 } { 2 }$
C) $\frac { 35 } { 2 }$
D) $\frac { 33 } { 2 }$
E) $\frac { 31 } { 2 }$

Quizplus · Accepted Answer

The Answer of The line integral $\int $C $( x + y ) d x + ( y + z ) d y + ( x + z ) d z$ , where C is the line segment from (0,0,0) to (1,2,4), is

A) $\frac { 39 } { 2 }$
B) $\frac { 37 } { 2 }$
C) $\frac { 35 } { 2 }$
D) $\frac { 33 } { 2 }$
E) $\frac { 31 } { 2 }$

The Line Integral ∫\int ∫ C (x+y)dx+(y+z)dy+(x+z)dz( x + y ) d x + ( y + z ) d y + ( x + z ) d z(x+y)dx+(y+z)dy+(x+z)dz