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) \(\frac{\sqrt{49 x^{2}-1}}{x}+\ln \left|7 x+\sqrt{49 x^{2}}\right|+C\)

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