Find the integral of the differential dF = y 2 dx + xdy from point (2, 2) to point (6, 5): (a)…

Find the integral of the differential dF = y2dx + xdy from point (2, 2) to point (6, 5):

(a) along a path that first goes straight from (2, 2) to (6, 2) and then straight from (6, 2) to (6,5),

(b) along a path that first goes straight from (2, 2) to (2, 5) and then straight from (2, 5) to (6, 5),

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(c) along a path that goes along the diagonal line y = (3/4)x + (1/2) from (2, 2) to (6, 5).

 

 

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