Find the Most General Antiderivative $$\int \left( \frac { 6 } { \sqrt { 1 - x ^ { 2 } } } - \frac { 7 } { x } \right) d x$$

question 262

Multiple Choice

Find the most general antiderivative.
- $$\int \left( \frac { 6 } { \sqrt { 1 - x ^ { 2 } } } - \frac { 7 } { x } \right) d x$$

• A) \(6 \sin ^ { - 1 } x - \ln | x | + C\)
• B) \(6 \sin ^ { - 1 } x + 7 \ln | x | + C\)
• C) \(6 \sin ^ { - 1 } x - 7 \ln | x | + C\)
• D) \(\frac { \sin ^ { - 1 } x } { 6 } - \frac { \ln | x | } { 7 } + C\)

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Definitions:

Normally Distributed

Refers to a probability distribution that is symmetrically shaped around the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Mean

The arithmetic average of a set of numbers, calculated by adding them all together and dividing by the count of these numbers.

Right-Skewed

Describes a distribution of data where the tail on the right side of the distribution is longer or fatter than the left side, indicating that the mean is greater than the median.

Standard Deviation

The square root of the variance, measuring the dispersion of a dataset relative to its mean.