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Use the Table of Integrals to Evaluate the Integral ∫49x2−1x2dx\int \frac{\sqrt{49 x^{2}-1}}{x^{2}} d x

Question 95

Multiple Choice

Use the Table of Integrals to evaluate the integral. ∫49x2−1x2dx\int \frac{\sqrt{49 x^{2}-1}}{x^{2}} d x


A) 7ln⁡∣7x+49x2−1∣+C7 \ln \left|7 x+\sqrt{49 x^{2}-1}\right|+C
B) −49x2−1x+7ln⁡∣14x+249x2−1∣+C-\frac{\sqrt{49 x^{2}-1}}{x}+7 \ln \left|14 x+2 \sqrt{49 x^{2}-1}\right|+C
C) 49x2−1x+7ln⁡∣7x+49x2−1∣\frac{\sqrt{49 x^{2}-1}}{x}+7 \ln \left|7 x+\sqrt{49 x^{2}-1}\right|
D) 7x2−1x+ln⁡∣x+7x2−1∣+C\frac{\sqrt{7 x^{2}-1}}{x}+\ln \left|x+\sqrt{7 x^{2}-1}\right|+C
E) 49x2−1x+ln⁡∣7x+49x2∣+C\frac{\sqrt{49 x^{2}-1}}{x}+\ln \left|7 x+\sqrt{49 x^{2}}\right|+C

Correct Answer:

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