Find the Indefinite Integral $$\int \frac { 1 } { \left( x ^ { 2 } + 8 \right) ^ { 3 / 2 } } d x$$

question 84

Multiple Choice

Find the indefinite integral. $$\int \frac { 1 } { \left( x ^ { 2 } + 8 \right) ^ { 3 / 2 } } d x$$

• A)\(- \frac { x ^ { 2 } } { 8 \sqrt { x ^ { 2 } + 8 } } + C\)
• B)\(\frac { x } { 8 \sqrt { x ^ { 2 } + 8 } } + C\)
• C)\(- \frac { x } { 8 \sqrt { x ^ { 2 } + 8 } } + C\)
• D)\(\frac { x ^ { 2 } } { 8 \sqrt { x ^ { 2 } + 8 } } + C\)
• E) \(8 x \sqrt { x ^ { 2 } + 8 } + C\)

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Definitions:

Mean

The arithmetic average of a set of values, calculated by summing the values and then dividing by the number of values.

Distribution

In statistics, the way in which values of a variable are spread or dispersed across a set of data.

Standard Deviation

A statistical measure that quantifies the amount of variation or dispersion of a set of data values from the mean.

Variability

The measure of how data points in a statistical distribution or dataset diverge from the average or mean value.