Evaluate the line integral y² dx + 2x dy + dz, where C connects (0,0,0) with (1, 1, 1), (a) along straight lines from (0,0,0) to (1, 0,0) to (1,0, 1) to (1,1, 1); (b) on the circle x² + y² - 2y = 0 to (1, 1,0) and then on a vertical line to (1, 1, 1).

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