Evaluate: `int(sin^4x)/(cos^8x)\ dx`

Explanation

To evaluate the integral \( I = \int \frac{\sin^4 x}{\cos^8 x} \, dx \), we can follow these steps:

### Step 1: Rewrite the Integral
We start by rewriting the integral in terms of tangent and secant functions. We know that:
\[ \sin^2 x = 1 - \cos^2 x \]
Thus, we can express \(\sin^4 x\) as:
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