Evaluate the Integral $\int _ { - 1 } ^ { 4 } 3 x e ^ { 2 x ^ { 2 } + 3 } \mathrm {~d} x$

question 49

Multiple Choice

Evaluate the integral. $\int _ { - 1 } ^ { 4 } 3 x e ^ { 2 x ^ { 2 } + 3 } \mathrm {~d} x$

• A) \(0.75 \left( e ^ { 32 } - e ^ { 2 } \right)\)
• B) \(0.75 \left( e ^ { 35 } - e ^ { 5 } \right)\)
• C) \(0.75 \left( e ^ { 35 } + e ^ { 5 } \right)\)
• D) \(1.75 \left( e ^ { 35 } + e ^ { 5 } \right)\)
• E) \(1.75 \left( e ^ { 35 } - e ^ { 5 } \right)\)

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Definitions:

Segment Margin

The amount of profit or loss generated by a specific segment of a business, calculated by deducting the direct and indirect costs associated with that segment from its revenues.

Segmented Income Statement

A financial statement that separates the results of different business units, products, or segments to analyze each segment's profitability.

Contribution Format

An income statement format that separates fixed and variable costs, highlighting the contribution margin.

East Segment

A division or geographical area of a business focused on the eastern region, often used in reporting or segmenting operations.