each Find the integral of F from (0,0,0) to (1,1,1) over the following paths, where F = (y + ) + ( + x) + (x+y)k, of (a) The straight line path C: r(t) =t+ t+tk, ost) (b) The cwered path C: rlt) = t + tj+tk, 2 0t1. 2 A (0,0,0) C2 ( ) Y (c) The path C3 U C considering of the line segment from (0,0,0) to (1,1,0) followed by the segment from (1,1,0) to (1,1,1). 10,00 X N C4 () Y