To convert the line integral to dy you will use 2 1 d

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To convert the line integral to dy , you will use 2 1 d dy s x dy d and then change all x variables in the original line integral to y to reduce the line integral to just y and dy only. You may end up with an integral that has no closed form solution. And this method is limited to 2-D curves only. Keep in mind that, you may still end up with an integral that is difficult to work with and frequently, you will need to use a numerical approximation to finish the integration.
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