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:

Myelination

The process of forming a myelin sheath around the nerves to increase the speed at which impulses propagate along the myelinated fiber.

Lateralization

The propensity for specific brain functions or mental processes to have a dominance in one side of the brain over the opposite side.

Equalization

The process of making things equal or balanced in terms of value, status, or character.

Disequilibrium

A state of mental imbalance or confusion, often occurring when new information conflicts with existing beliefs or knowledge.