Evaluate `int(2^(x))/(sqrt(1-4^(x)))dx`

Explanation

To evaluate the integral \( I = \int \frac{2^x}{\sqrt{1 - 4^x}} \, dx \), we can start by making a substitution to simplify the expression.

### Step 1: Substitution
Let \( u = 4^x \). Then, we have:
\[ u = (2^2)^x = (2^x)^2 \implies 2^x = \sqrt{u} \]
Now, differentiate \( u \) with respect to \( x \):
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