Use the Table of Integrals to Evaluate the Integral $\int \frac{\sqrt{49 x^{2}-1}}{x^{2}} d x$

question 95

Multiple Choice

Use the Table of Integrals to evaluate the integral. $\int \frac{\sqrt{49 x^{2}-1}}{x^{2}} d x$

• A) \(7 \ln \left|7 x+\sqrt{49 x^{2}-1}\right|+C\)
• B) \(-\frac{\sqrt{49 x^{2}-1}}{x}+7 \ln \left|14 x+2 \sqrt{49 x^{2}-1}\right|+C\)
• C) \(\frac{\sqrt{49 x^{2}-1}}{x}+7 \ln \left|7 x+\sqrt{49 x^{2}-1}\right|\)
• D) \(\frac{\sqrt{7 x^{2}-1}}{x}+\ln \left|x+\sqrt{7 x^{2}-1}\right|+C\)
• E) \(\frac{\sqrt{49 x^{2}-1}}{x}+\ln \left|7 x+\sqrt{49 x^{2}}\right|+C\)

---

Definitions:

Symptoms Of Mania

Behavioral and psychological features such as increased energy, euphoria, decreased need for sleep, grandiosity, and sometimes irritability, typically observed in bipolar disorder.

Positive Life Events

Occurrences or experiences that have a beneficial effect on an individual's mental and physical well-being.

Aggressiveness

A behavioral trait characterized by the propensity to initiate hostile or violent actions, often as a way of coping with stress or frustration.

Physical Activity

Any bodily movement produced by skeletal muscles that requires energy expenditure, including activities undertaken while working, playing, carrying out household chores, traveling, and engaging in recreational pursuits.