Determine Whether the Improper Integral Converges or Diverges, and If $\int_{2}^{\infty} \frac{d x}{x \sqrt{x^{2}-4}}$

question 27

Short Answer

Determine whether the improper integral converges or diverges, and if it converges, find its value. $\int_{2}^{\infty} \frac{d x}{x \sqrt{x^{2}-4}}$

---

Definitions:

Surgical Mask

A medical device worn over the mouth and nose to prevent the spread of infectious agents during surgical procedures and patient care.

Normal Flora

The collection of microorganisms including bacteria, viruses, and fungi that reside on or within the body but do not cause disease under normal circumstances.

Tapeworm

A parasitic flatworm, often ingested by humans or animals from infected food, leading to various health problems.

Staphylococcus Bacteria

A genus of gram-positive bacteria responsible for a variety of infections, including skin infections, pneumonia, and food poisoning.