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Integrate the functionssqrt(sin2x)cos2x...

Integrate the functions`sqrt(sin2x)cos2x`

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To solve the integral of the function \( \sqrt{\sin(2x)} \cos(2x) \, dx \), we can follow these steps: ### Step 1: Substitution Let \( t = \sin(2x) \). Then, we need to find \( dt \): \[ dt = 2 \cos(2x) \, dx \quad \Rightarrow \quad \frac{dt}{2} = \cos(2x) \, dx \] ...
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