Evaluate the Line Integral $\int _ { C } x y d x + y z d y + z x d x$

Short Answer

Evaluate the line integral $\int _ { C } x y d x + y z d y + z x d x$ :
(a) if $C$ is the line segment from $( 1,1,1 )$ to $( 3,3,3 )$ .(b) if $C$ is the line segment from $( 3,3,3 )$ to $( 1,1,1 )$ .