Express $\int _ { 1 } ^ { 4 } \left( 2 x - \frac { 1 } { x ^ { 2 } } \right) d x$

question 227

Essay

Express $\int _ { 1 } ^ { 4 } \left( 2 x - \frac { 1 } { x ^ { 2 } } \right) d x$ as the limit of a sum.

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Definitions:

Substitution Effect

The change in consumption patterns due to a change in the relative prices of goods, leading consumers to substitute away from more expensive goods towards cheaper ones.

Income Effect

The impact on consumer's choice arising from a change in their income, influencing their purchasing power.

Giffen Good

A type of inferior good for which demand increases as the price increases, violating the basic law of demand.

Inferior Good

A type of good whose demand decreases when consumer income rises, and vice versa, often contrasted with normal goods whose demand increases with rising income.