Question
Evalute : $\int \frac{d x}{\sqrt{4 x^2-5}} d x$

Answer

$
\begin{aligned}
& \int \frac{d x}{\sqrt{4 x^2-5}}=\frac{1}{2} \int \frac{1}{\sqrt{x^2-\frac{5}{4}}} d x \\
& =\frac{1}{2} \log \left|x+\sqrt{x^2-\frac{5}{4}}\right|+c .
\end{aligned}
$

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