Evaluate the Integral in Terms of Natural Logarithms $$\int _ { 6 / 5 } ^ { 7 / 2 } \frac { d x } { 1 - x ^ { 2 } }$$

question 81

Multiple Choice

Evaluate the integral in terms of natural logarithms.
- $$\int _ { 6 / 5 } ^ { 7 / 2 } \frac { d x } { 1 - x ^ { 2 } }$$

• A) \(\ln 2\)
• B) \(\frac { 1 } { 2 } \ln \left( \frac { 9 } { 55 } \right)\)
• C) \(\ln \left( \frac { 7 } { 11 } \right)\)
• D) \(\frac { 1 } { 2 } \ln \left( - \frac { 9 } { 55 } \right)\)

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Definitions:

Risk Averse

A characteristic of preferring to avoid risk, inclining towards guaranteed outcomes over potentially higher-yielding but uncertain ones.

Income

The accumulation of funds, characteristically on a habitual basis, through work or investing.

Von Neumann-Morgenstern

A theory of expected utility that describes how rational individuals choose among uncertain prospects, emphasizing the maximization of utility for decision-making under uncertainty.

Utility Function

A mathematical representation in economics that portrays an individual's preference ranking for different bundles of goods or outcomes.