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Integrate the functions(cos2x+2sin^2x)/(...

Integrate the functions`(cos2x+2sin^2x)/(cos^2x)`

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To integrate the function \(\frac{\cos 2x + 2\sin^2 x}{\cos^2 x}\), we can follow these steps: ### Step 1: Rewrite \(\cos 2x\) We know that \(\cos 2x\) can be expressed in terms of \(\sin^2 x\): \[ \cos 2x = 1 - 2\sin^2 x \] Now, substituting this into our integral gives: ...
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