32. Integral along different paths Evaluate the line integral Sc2x cos y dx – x² sin y dy along the following paths C in the xy-plane. a. The parabola y = (x – 1)² from (1, 0) to (0, 1) b. The line segment from (–1, 7) to (1, 0) c. The x-axis from (-1, 0) to (1, 0) d. The astroid r(t) = (cos³ t)i + (sin³ t)j, 0 < t < 27, coun- terclockwise from (1, 0) back to (1, 0) (0, 1) (-1,0) (1, 0) (0, – 1)

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