Question: 3. (a) Set up the line integral for evaluating S. F.dr, where F = (y cos(x) - xysin(x), xy + x cos(x)) and C is

C is the triangle from (0, 0) to (0, 8) to (4,

0) to (0, 0) directly; that is, using the formula fo F

. dr = fo F (r(t)) . F'(t) dt. Does it seem

3. (a) Set up the line integral for evaluating S. F.dr, where F = (y cos(x) - xysin(x), xy + x cos(x)) and C is the triangle from (0, 0) to (0, 8) to (4, 0) to (0, 0) directly; that is, using the formula fo F . dr = fo F (r(t)) . F'(t) dt. Does it seem reasonable to compute this line integral directly? Why or why not?(b) Is there an easier way to compute this line integral? Why or why not?

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