Evaluate the Line Integral $\int _ { C } \left( 2 x y ^ { 2 } + \tan \left( x ^ { 3 } \right) \right) d x + \left( x ^ { 2 } y + 2 y \right) d y$

question 108

Short Answer

Evaluate the line integral $\int _ { C } \left( 2 x y ^ { 2 } + \tan \left( x ^ { 3 } \right) \right) d x + \left( x ^ { 2 } y + 2 y \right) d y$ where C consists of the arc of the parabola $y = x ^ { 2 }$ from $( 0,0 )$ to $( 1,1 )$ , followed by the line segments from $( 1,1 )$ to $( 2,4 )$ , from $( 2,4 )$ to $( 0,4 )$ .

---

Definitions:

Long-Term Assets

Long-term assets are assets that a company expects to use for more than one year, including property, plant, equipment, and intangible assets.

Notes Receivable

Financial assets representing amounts due to be paid to a company by customers or other entities in the form of promissory notes.

Direct Method

A method of preparing the cash flow statement where actual cash flow information from the company's operations is used, as opposed to indirect method adjustments.

Operating Cash Receipts

Money received by a company from its operational activities, such as sales of goods or services.