Step 1:
First, we factor out a 4 from the expression in the denominator of the integral:
$$
\int \frac{2}{\sqrt{1-4 x^{2}}} d x = \int \frac{2}{2\sqrt{\frac{1}{4}-x^{2}}} d x
$$
This simplifies to:
$$
\int \frac{1}{\sqrt{\frac{1}{4}-x^{2}}} d x
$$
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