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

question 17

Multiple Choice

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

• 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:

Single-Subject Experimental Designs

Research designs that focus on the response of a single participant to document the effects of a variable.

Cross-Sectional

Describes research that collects data from a population or a representative subset at one specific point in time.

Dependent Variable

In an experiment or study, it is the variable being tested and measured, which is expected to be influenced by the independent variable.

Single-Subject Experimental Design

A research design focusing on the effects of an intervention on a single participant, allowing detailed observation of individual responses.