Evaluate the Improper Integral $\int _ { 0 } ^ { \infty } x e ^ { - x ^ { 2 } } d x$

question 134

Multiple Choice

Evaluate the improper integral $\int _ { 0 } ^ { \infty } x e ^ { - x ^ { 2 } } d x$

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

---

Definitions:

Amino Acids

The organic compounds that combine to form proteins, which are essential for the structure, function, and regulation of the body's tissues and organs.

Phosphate Groups

Phosphate groups consist of a phosphorus atom bonded to four oxygen atoms and are critical components of many biological molecules, including DNA, RNA, and ATP.

Base-Pairing Rules

The base-pairing rules describe how nucleotides form pairs in DNA and RNA through hydrogen bonding: adenine pairs with thymine (uracil in RNA) and cytosine pairs with guanine.