Use a Table of Integrals to Evaluate the Integral $\int \frac{\sqrt{4 x+5}}{x^{2}} d x$

question 11

Multiple Choice

Use a table of integrals to evaluate the integral. $\int \frac{\sqrt{4 x+5}}{x^{2}} d x$

• A) \(-\frac{2 \sqrt{5}}{5} \ln \left|\frac{\sqrt{4 x+5}-\sqrt{5}}{\sqrt{4 x+5}+\sqrt{5}}\right|+C\)
• B) \(-\frac{\sqrt{4 x+5}}{x}+\frac{2 \sqrt{5}}{5} \ln \left|\frac{\sqrt{4 x+5}-\sqrt{5}}{\sqrt{4 x+5}+\sqrt{5}}\right|+C\)
• C) \(-\frac{\sqrt{4 x+5}}{x}+\frac{4 \sqrt{5}}{5} \ln \left|\frac{\sqrt{4 x+5}-\sqrt{5}}{\sqrt{4 x+5}+\sqrt{5}}\right|+C\)
• D) \(-\frac{4 \sqrt{5}}{5} \ln \left|\frac{\sqrt{4 x+5}-\sqrt{5}}{\sqrt{4 x+5}+\sqrt{5}}\right|+C\)

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Definitions:

Ecological Fallacy

The error of assuming that a characteristic of an individual can be inferred from the characteristics of the group to which they belong.

Individualism Score

A measure used in cultural studies to gauge the degree of independence and self-reliance prevalent within a society or organization.

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Societal or organizational systems characterized by flexible norms and behaviors, where deviations from the norm are more tolerated.

Social Norms

The accepted behaviors, conventions, and standards within a society or group.