Evaluate the Integral $$\int _ { 2 } ^ { 3 } \frac { x ^ { 4 } + 1 } { x ^ { 5 } + 5 x } d x$$

question 36

Multiple Choice

Evaluate the integral.
- $$\int _ { 2 } ^ { 3 } \frac { x ^ { 4 } + 1 } { x ^ { 5 } + 5 x } d x$$

• A) \(\frac { 1 } { 5 } \ln \left| \frac { 38 } { 249 } \right|\)
• B) \(\frac { 2 } { 3 } \ln \left| \frac { 3 } { 2 } \right|\)
• C) \(\frac { 1 } { 5 } \ln \left| \frac { 2 } { 3 } \right|\)
• D) \(\frac { 1 } { 5 } \ln \left| \frac { 43 } { 7 } \right|\)

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Definitions:

Shortages

Occurrences when the demand for a product or service exceeds its supply in a market, often leading to higher prices and unmet consumer needs.

Equilibrium Price

The market price at which the quantity of a good supplied equals the quantity demanded, leading to a stable market situation.

Government Intervention

Actions taken by a government to affect the economy, which can include regulations, subsidies, tariffs, and more.

Equilibrium Price

The price at which the quantity of a good or service demanded equals the quantity supplied, resulting in no shortage or surplus.