Evaluate the Integral $$\int _ { 0 } ^ { 8 } \left( x ^ { 2 } + 8 \right) e ^ { - x } d x$$

question 16

Multiple Choice

Evaluate the integral.
$$\int _ { 0 } ^ { 8 } \left( x ^ { 2 } + 8 \right) e ^ { - x } d x$$

• A) \(30 e ^ { - 4 } + 10\)
• B) \(- 30 e ^ { 4 } + 10\)
• C) \(- 90 e ^ { - 8 } + 10\)
• D) \(- 30 e ^ { - 4 } - 1\)
• E) None of these

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Definitions:

Stem-and-Leaf Plot

A graphical representation of a data set where each data value is split into a "stem" and a "leaf", allowing for easy visualization of data distribution.

Histogram

A graphical representation of the distribution of numerical data, often used to depict the frequency of data points in successive intervals.

Skewed

Refers to a distribution that is not symmetrical, with a longer tail on one side of the peak than the other.

Distribution

A statistical term that describes all the possible values and occurrences that a data set or variable can take within a range.