Determine Whether Each Integral Is Convergent or Divergent $\int _ { 0 } ^ { 2 } \frac { 1 } { x - 1 } d x$

question 228

Essay

Determine whether each integral is convergent or divergent. Evaluate those that are convergent.(a) $\int _ { 0 } ^ { 2 } \frac { 1 } { x - 1 } d x$ (b) $\int _ { 2 } ^ { \infty } \frac { 1 } { x ( \ln x ) ^ { 2 } } d x$ (c) $\int _ { 0 } ^ { 1 } \frac { \ln x } { \sqrt { x } } d x$

---

Definitions:

Delegate Tasks

The act of assigning responsibilities or duties to another individual or team.

Committees Of Directors

Groups formed by members of a company's board of directors that focus on specific areas of governance, such as audit, finance, or compensation.

Corporate Policy Decisions

Decisions made at the highest level of a corporation that determine its general direction and policies.

Corporate Officers

Individuals appointed to oversee the day-to-day operations and major corporate decisions, including CEOs, CFOs, and COOs.