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:

Variable Overhead

Indirect production costs that vary with the level of output, such as utilities for a manufacturing plant.

Direct Materials

Raw materials that can be directly attributed to the production of finished goods.

Direct Labor-Hours

Total working hours accrued by employees integral to the manufacturing sequence.

Variable Overhead

Costs of production that vary directly with the volume of output, such as utilities and labor efficiency.