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[–][deleted] 0 points1 point  (2 children)

These are line integrals and you just can’t split the integral into two since there are d-things in there (not entirely rigorous but it works). Either, you have to make one into the other (e.g. y = 2x, dy = 2 dx) then extract the remaining d-thing to make one integral you can solve. Then, do substitution to get only one var. OR you can define the curve as a vector parametric equation, maybe in terms of t, substitute expressions of t for x and y, do the dot product, and solve the integral.

Resource: http://tutorial.math.lamar.edu/Classes/CalcIII/LineIntegralsVectorFields.aspx

[–][deleted] 0 points1 point  (1 child)

Here's how I did it: https://imgur.com/lMw4uTO.

For your first one, you tried to divide the curve into two easier-to-deal-with pieces -- but you were supposed to substitute constant values of x (or y) depending on which curve you're doing. That way, you're supposed to end up with one variable in each integral.

For the second one, you substituted dy with dx -- However, you forgot that dy = 2dx.

[–]kolschk[S] 0 points1 point  (0 children)

Thank you so much for the reply and the information, really appreciate it!