Evaluate: `int(sinx)/(sin4x)dx`

Explanation

To evaluate the integral \(\int \frac{\sin x}{\sin 4x} \, dx\), we can use some trigonometric identities and properties of integrals. Here’s a step-by-step solution:

### Step 1: Rewrite \(\sin 4x\)
We can use the double angle formula to express \(\sin 4x\) in terms of \(\sin 2x\):
\[ \sin 4x = 2 \sin 2x \cos 2x \]
Thus, we can rewrite the integral:
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