Find `int(dx)/(sinx cos^(3)x)`.

Explanation

To solve the integral \( \int \frac{dx}{\sin x \cos^3 x} \), we can follow these steps:

### Step 1: Rewrite the Integral
We start with the integral:
\[ I = \int \frac{dx}{\sin x \cos^3 x} \]
We can multiply and divide by \( \cos x \):
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