Evaluate , If C Is the Path Shown Below

question 147

Short Answer

Evaluate $\oint _ { C } \left( \frac { 1 } { 4 } y ^ { 4 } - \frac { 1 } { 2 } x ^ { 3 } \cos y ^ { 3 } \right) d x + \left( x y ^ { 3 } + x ^ { 2 } + \frac { 3 } { 8 } x ^ { 4 } y ^ { 2 } \sin y ^ { 3 } \right) d y$ , if C is the path shown below.

---

Definitions:

State Of Consciousness

Refers to the level of awareness of internal states or surroundings, encompassing various states from wakefulness to deep sleep and altered states of consciousness.

Sexual Basis

A perspective that sees sexual desire and motivations as fundamental to human behavior and psychological development.

Basic Anxiety

A term originated by psychoanalyst Karen Horney, referring to feelings of helplessness and insecurity that arise from living in a potentially hostile world.

Horney's Concept

Emphasizes the importance of social relationships in the development of personality and identifies strategies people use to cope with anxiety and emotional pain.