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2. Consider F = 31+ 5e1-y+2. Integration is necessary for the following variations. Set up a single variable integral that will evaluate the line

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2. Consider F = 31+ 5e1-y+2. Integration is necessary for the following variations. Set up a single variable integral that will evaluate the line integral f F.dr for the following oriented paths C. Your answer should take the form (integrand) d (variable). Specify every component of your definite integral. There is no need to perform the integration. (a) C is a line segment from (2,1) to (2,-5). Set up the said integral by geometrically parametrizing C, i.e. you should be able to do this using an existing underlying coordinate variable. (b) C is a line segment from (2,1) to (5,7). Set up the said integral by explicitly parametrizing C, i.e. construct (t) to describe C.

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