I'm used to parameterizing however I'm not sure how to solve these types of problems, any help would be much appreciated. 1) Calculate the line integral ∫v⋅dr along the curve y=x3 in the xy-plane when -1≤x≤2 and v=xyi+x2j 2) a) Find the work that the force F = (y2+5)i+(2xy-8)j carries out along two paths ABC and ADC which are composed of perpendicular lines between the points A,B,C,D. A,B,C,D are corners in a square and the corners have the coordinates (0,0),(1,0),(1,1),(0,1) respectively b) Calculate the work done along a straight line from A to C. c) Since the work done appears to be independent of the path taken, we expect that the force can be written as the gradient to a potential V. Find the potential-function and show that the difference between the potential at A and C are equivalent to the work done. Attempt at reaching a solution: 1) I substituted y=x3 into the equation then did a normal integral with respect to x. It doesn't seem right to me however I'm used to dS and t so these problems just messed my thinking up. 2) Similar thinking to 1) is messing me up I think. Did normal integrals with respect to x and y.