Evaluate the Improper Integral $\int _ { 1 } ^ { \infty } \frac { 1 } { x ( x + 1 ) } d x$

question 39

Multiple Choice

Evaluate the improper integral $\int _ { 1 } ^ { \infty } \frac { 1 } { x ( x + 1 ) } d x$

• A) \(\frac { 1 } { 2 } \ln 4\)
• B) \(\ln 4\)
• C) \(- \ln 4\)
• D) \(- \frac { 1 } { 3 } \ln 4\)
• E) \(\frac { 1 } { 3 } \ln 4\)
• F) \(\ln 2\)
• G) \(- \frac { 1 } { 2 } \ln 4\)
• H)Divergent

---

Definitions:

Equality Rights

Basic rights enumerated in the Canadian Charter of Rights and Freedoms, including the right not to be discriminated against on the basis of grounds such as gender, age, religion, race, or colour, and the guarantee of equal benefit of and protection by the law.

Charter Of Rights And Freedoms

The legal document that guarantees fundamental freedoms, legal rights, and equality rights for all citizens in Canada, acting as a cornerstone for democracy in the country.

Charter Rights

Rights and freedoms that are guaranteed under a country's constitution or charter, protecting individuals from infringement by governments.

Refused Service

The act of denying a customer goods or services, which can be legal or illegal depending on the circumstances and nondiscrimination laws.