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Find int(cos^(2)2x-sin^(2)2x)dx...

Find `int(cos^(2)2x-sin^(2)2x)dx`

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To solve the integral \( \int (\cos^2(2x) - \sin^2(2x)) \, dx \), we can follow these steps: ### Step 1: Use the Trigonometric Identity We know from trigonometric identities that: \[ \cos^2(\alpha) - \sin^2(\alpha) = \cos(2\alpha) \] In our case, let \( \alpha = 2x \). Therefore, we can rewrite the expression: ...
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