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Use a Table of Integrals to Evaluate the Integral 4x+5x2dx\int \frac{\sqrt{4 x+5}}{x^{2}} d x

Question 11

Multiple Choice

Use a table of integrals to evaluate the integral. 4x+5x2dx\int \frac{\sqrt{4 x+5}}{x^{2}} d x


A) 255ln4x+554x+5+5+C-\frac{2 \sqrt{5}}{5} \ln \left|\frac{\sqrt{4 x+5}-\sqrt{5}}{\sqrt{4 x+5}+\sqrt{5}}\right|+C
B) 4x+5x+255ln4x+554x+5+5+C-\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) 4x+5x+455ln4x+554x+5+5+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) 455ln4x+554x+5+5+C-\frac{4 \sqrt{5}}{5} \ln \left|\frac{\sqrt{4 x+5}-\sqrt{5}}{\sqrt{4 x+5}+\sqrt{5}}\right|+C

Correct Answer:

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