Calculate the line integral of the function v = x2x + 2yz y + y2 z from
Question:
Calculate the line integral of the function v = x2x + 2yz y + y2 z from the origin to the point (1, 1, 1) by three different routes:
(a) (0, 0, 0) → (1,0, 0) → (1, 1,0) → (1, 1, 1);
(b) (0, 0, 0) → (0, 0, 1) → (0, 1, 1) → (1, 1, l);
(c) The direct straight line.
(d) What is the line integral around the closed loop that goes out along path (a) and back along path (b)?
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