Find the value of the line integral

If F is conservative, the integration may be easier on an alternative path.)

F(x, y) = ye^xyi + xe^xyj

(a) r₁(t) = ti - (t − 3)j, 0 ≤ t ≤ 3

(b) The closed path consisting of line segments from (0, 3) to
(0, 0), from (0, 0) to (3, 0), and then from (3, 0) to (0, 3)

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C F. dr.