Evaluate the Integral $$\int \frac { - e ^ { \cos ^ { - 1 } x } } { \sqrt { 1 - x ^ { 2 } } } d x$$

question 181

Multiple Choice

Evaluate the integral.
- $$\int \frac { - e ^ { \cos ^ { - 1 } x } } { \sqrt { 1 - x ^ { 2 } } } d x$$

• A) \(\frac { e ^ { \sin ^ { - 1 } x } } { \sin ^ { - 1 } x } + C\)
• B) \(- e ^ { \sin ^ { - 1 } x } + C\)
• C) \(\sqrt { - e ^ { \cos ^ { - 1 } x } } + C\)
• D) \(e ^ { \cos ^ { - 1 } x } + C\)

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Definitions:

Free-Market Economy

An economic system where prices for goods and services are determined by the open market and consumers, with minimal government intervention.

Standard Deviation

A measure of the dispersion or variation in a set of numerical data, indicating how spread out the values are from the mean.

Standard Error

A statistical term that measures the accuracy with which a sample distribution represents a population using standard deviation.