[Solved] Evaluate the line integral \(\int _ { C } \mathbf { F } \cdot d \mathbf { r }\) where \(\mathbf { F } ( x , y , z ) = ( 2 x y + \ln z ) \mathbf { i } + \left( x ^ { 2 } + 1 + z \cos y z \right) \mathbf { j } + \left( \frac { x } { 2 } + y \cos y z \right) \mathbf { k }\) and C is the curve \(x = \sqrt { 3 \cos t + 1 }\) , \(y = 2 \sin ^ { 3 } t\) , \(z = \sin t + \cos t\) , \(0 \leq t \leq \frac { \pi } { 2 }\) . Legal Construct: A theoretical or legal idea, designed and accepted by society or a specific community, which guides actions and interpretations legally and socially. NLRA Reform: Suggests changes or amendments to the National Labor Relations Act, which is legislation in the United States that governs labor relations and workers' rights. Captive Audience Meetings: Gatherings where employees are required to attend, often used by employers to communicate information or influence opinions. Card Check Recognition: A method of union recognition where an employer acknowledges a union's role as bargaining agent if a majority of employees show support, typically by signing authorization cards.