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Integrate with respect to x: 1/(2+cosx...

Integrate with respect to x: `1/(2+cosx)`

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To solve the integral \( I = \int \frac{1}{2 + \cos x} \, dx \), we can follow these steps: ### Step 1: Rewrite the Cosine Function We know that \( \cos x \) can be expressed in terms of the tangent function using the identity: \[ \cos x = \frac{1 - \tan^2(\frac{x}{2})}{1 + \tan^2(\frac{x}{2})} \] Substituting this into the integral gives: ...
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