[Steps Shown] Evaluate the following line integral using the Fundamental theorem of line Integrals: ∫_C[ 2 (x +y)i + 2 (x +y)j ] • d r , ,
Question: Evaluate the following line integral using the Fundamental theorem of line Integrals:
\[\begin{aligned} & \int\limits_{C}{\left[ \,2\,\left( \,x\ +\ y\, \right)\ i\quad +\quad 2\,\left( \,x\ +\ y\, \right)\ j \right]}\ \cdot \ d\,r \\ & \\ & C:\ smooth\ curve\ from\ \left( \,-\,1,\ 1\, \right)\ to\ \left( \,3,\ 2\, \right) \\ \end{aligned}\]
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