Evaluate the Line Integral $\int _ { C } ( x + y ) d x + x ^ { 2 } d y$

question 98

Short Answer

Evaluate the line integral $\int _ { C } ( x + y ) d x + x ^ { 2 } d y$ , where C is the arc of the parabola $y = x ^ { 2 } - x$ from the point $( 1,0 )$ to the point $( 2,2 )$ .

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Definitions:

Corporation

is a legal entity recognized by law as a separate entity from its owners, with its own rights and obligations.

Variable Costing

A costing method that includes only variable manufacturing costs in product costs and treats fixed manufacturing overhead as a period expense.

Absorption Costing

An accounting method that includes all manufacturing costs - direct materials, direct labor, and both variable and fixed overhead - as part of the cost of a product.

Carrying Value

The net amount at which an asset is valued on a company's balance sheet, considering its original cost minus any depreciation, amortization, or impairment costs.