Let C Be the Closed Path From $( 0,0 )$ To $( 2,4 )$

question 94

Short Answer

Let C be the closed path from $( 0,0 )$ to $( 2,4 )$ along $y = x ^ { 2 }$ and back again from $( 2,4 )$ to $( 0,0 )$ along $y = 2 x$ . Evaluate $\int _ { C } \left( x ^ { 3 } + 2 y \right) d x + \left( x - y ^ { 2 } \right) d y$ directly, and then using Green's Theorem.

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Definitions:

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The absence of clarity, accuracy, or definiteness in language, which can lead to misunderstandings or vague interpretations.

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The tendency to view people or situations as unchanging, ignoring the possibility of development or evolution.

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