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

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) $-\frac{4 \sqrt{5}}{5} \ln \left|\frac{\sqrt{4 x+5}-\sqrt{5}}{\sqrt{4 x+5}+\sqrt{5}}\right|+C$

Correct Answer:

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Access For Free