Evaluate the Line Integral $\oint _ { C } x y ^ { 2 } d x - y x ^ { 2 } d y$

question 135

Short Answer

Evaluate the line integral $\oint _ { C } x y ^ { 2 } d x - y x ^ { 2 } d y$ around the triangle with vertices $( 1,0 )$ , $( 0,1 )$ , and $( 0,0 )$ with clockwise orientation.

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Definitions:

Average Cost

The total cost divided by the number of goods produced, calculating the cost per unit of goods.

Domain

In mathematics, specifically in the context of functions, the domain is the set of all possible input values (or arguments) for which the function is defined.

Manufacturer

A person or company that makes goods for sale in large quantities.

Domain

The set of all possible input values (typically x values) for which a given function is defined.