Evaluate the Improper Integral Whenever It Is Convergent $\int _ { - \infty } ^ { \infty } x e ^ { - x ^ { 2 } }$

question 13

Multiple Choice

Evaluate the improper integral whenever it is convergent. If it is divergent, state this.
- $\int _ { - \infty } ^ { \infty } x e ^ { - x ^ { 2 } }$ dx

• A) 0
• B) 1
• C) 2
• D) divergent
• E) -1

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Definitions:

Amphibian Heart

A three-chambered heart found in amphibians that consists of two atria and one ventricle, partially separating oxygenated and deoxygenated blood.

Oxygen-Rich

Referring to environments or substances with a high concentration of oxygen, such as certain atmospheric layers or oxygenated blood.

Oxygen-Poor

This term describes environments or situations where there is a deficiency of oxygen, often leading to anaerobic conditions.