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Integrate the rational functions(cosx)/...

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

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To solve the integral \(\int \frac{\cos x}{(1 - \sin x)(2 - \sin x)} \, dx\), we will follow these steps: ### Step 1: Substitution We start by substituting \( \sin x = t \). This implies that \( \cos x \, dx = dt \). ### Step 2: Rewrite the Integral Using the substitution, we can rewrite the integral as: \[ ...
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