Evaluate the Improper Integral $\int _ { - \infty } ^ { \infty } x e ^ { - x ^ { 2 } } d x$

question 112

Multiple Choice

Evaluate the improper integral $\int _ { - \infty } ^ { \infty } x e ^ { - x ^ { 2 } } d x$

• A) \(e\)
• B) \(e ^ { 2 } - 1\)
• C)0
• D) \(e ^ { 2 }\)
• E) \(e ^ { - 1 }\)
• F) \(e ^ { - 2 }\)
• G)1
• H) \(1 - e ^ { - 2 }\)

---

Definitions:

Partnership Agreement

A contract between partners in a business that outlines the terms of the partnership, roles, and share of profits or losses.

Profits and Losses

Profits and losses correspond to the financial gains or losses generated by a company's operations over a specific period, reflecting its economic performance.

Income Tax Expense

The amount of expense that a business recognizes in a given period for the taxes applied on its earnings.

Expired Insurance

The portion of an insurance premium that has been allocated to the expired portion of the policy, representing coverage that has already been provided.