$\text { Complete the square and find } \int \frac { x } { \sqrt { x ^ { 2 } + 10 x + 30 } } d x \text {. }$

question 13

Multiple Choice

$\text { Complete the square and find } \int \frac { x } { \sqrt { x ^ { 2 } + 10 x + 30 } } d x \text {. }$

• A) \(\int \frac { x } { \sqrt { x ^ { 2 } + 10 x + 30 } } d x = \sqrt { x ^ { 2 } + 10 x + 30 } - 5 \ln \left| \sqrt { x ^ { 2 } + 10 x + 30 } + ( x + 5 ) \right| + C\)
• B) \(\int \frac { x } { \sqrt { x ^ { 2 } + 10 x + 30 } } d x = \sqrt { x ^ { 2 } + 10 x + 30 } + \ln \left| \sqrt { x ^ { 2 } + 10 x + 30 } + ( x + 5 ) \right| + C\)
• C) \(\int \frac { x } { \sqrt { x ^ { 2 } + 10 x + 30 } } d x = \ln \left| \sqrt { x ^ { 2 } + 10 x + 30 } \right| + C\)
• D) \(\int \frac { x } { \sqrt { x ^ { 2 } + 10 x + 30 } } d x = 5 \ln \left| \sqrt { x ^ { 2 } + 10 x + 30 } + ( x + 5 ) \right| + C\)
• E) \(\int \frac { x } { \sqrt { x ^ { 2 } + 10 x + 30 } } d x = \sqrt { x ^ { 2 } + 10 x + 30 } - 5 \ln \left| \sqrt { x ^ { 2 } + 10 x + 30 } \right| + C\)

---

Definitions:

Canadian Code

A generic term that could refer to any set of regulatory standards or laws enacted in Canada.

Ethical Behaviour

Conduct based on acknowledged moral principles, reflecting honesty and fairness in interpersonal, professional, and academic relationships.

Statement of Values

A document or declaration that outlines the core principles and beliefs guiding an organization's or individual's actions.

Code of Conduct

A set of rules outlining the norms, rules, and responsibilities or proper practices for an individual, party or organization.