[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 \(x = \sqrt { 3 \cos t + 1 }\) , \(y = 2 \sin ^ { 3 } t\) , \(z = \sin t + \cos t\) , \(0 \leq t \leq \frac { \pi } { 2 }\) . Discontented: A feeling of dissatisfaction or unhappiness with one's circumstances or condition. Economic and Political: Pertaining to the systems or activities associated with the governance and distribution of resources within a society. Ego Control: The ability to regulate impulses, emotions, and desires in accordance with one's own needs and societal expectations. Hans Eysenck: A psychologist known for his work in the field of personality, including the development of a dimensional model of personality traits.