Evaluate the Integral by Making a Substitution and Then Using $$\int \frac { \sqrt { x } } { \sqrt { 9 - x } } d x$$

question 327

Multiple Choice

Evaluate the integral by making a substitution and then using a table of integrals.
- $$\int \frac { \sqrt { x } } { \sqrt { 9 - x } } d x$$

• A) \(9 \sin ^ { - 1 } \left( \frac { \sqrt { x } } { 3 } \right) - \sqrt { 9 x - x ^ { 2 } } + C\)
• B) \(\sqrt { 9 - x } - 3 \ln \left| \frac { 3 + \sqrt { 9 - x } } { x } \right| + C\)
• C) \(9 \sin ^ { - 1 } \left( \frac { x } { 3 } \right) - \sqrt { 9 - x } + C\)
• D) \(9 \sin ^ { - 1 } \left( \frac { \sqrt { x } } { 3 } \right) + x \sqrt { 9 - x } + C\)

Differentiate between monopolistic competition, oligopoly, and perfect competition based on the number of sellers and the nature of products.

Explain the pricing strategies and profit maximization behavior in monopolistically competitive markets.

Describe the concept of excess capacity and its implications for firms in monopolistically competitive markets.

Understand the impact of free entry and exit on long-term profits in monopolistically competitive markets.

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