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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

Question 70

Multiple Choice

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 , where C is the line segment from (0,0,0) to (1,2,4) , is


A) 392\frac { 39 } { 2 }
B) 372\frac { 37 } { 2 }
C) 352\frac { 35 } { 2 }
D) 332\frac { 33 } { 2 }
E) 312\frac { 31 } { 2 }

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