Integrate the rational functions`(cosx)/((1-sinx)(2-sinx)`[Hint: Put `sin x = t`]

Explanation

To solve the integral \( \int \frac{\cos x}{(1 - \sin x)(2 - \sin x)} \, dx \), we will use the substitution \( \sin x = t \). Here are the steps to solve the integral:

### Step 1: Substitute \( \sin x = t \)

When we differentiate both sides with respect to \( x \), we get:
\[ \cos x \, dx = dt \]
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