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Evaluate the line integral, where $ C $ is the given curve.

$ \displaystyle \int_C ( y + z) \, dx + (x + z) \, dy + (x + y) \, dz $,

$ C $ consists of line segments from $ (0, 0, 0) $ to $ (1, 0, 1) $ and from $ (1, 0, 1) $ to $ (0, 1, 2) $

$$

\int_{C}(y+z) d x+(x+z) d y+(x+y) d z=2

$$

Vector Calculus

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