what is the integration of cos^2(2x+1) dx ??

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Solution

$Let I = \int \cos^{2} (2 x + 1) d x = \int [\frac{1 + \cos (4 x + 2)}{2}] d x = \frac{1}{2} \int [1 + \cos (4 x + 2)] d x = \frac{1}{2} [x + \frac{\sin (4 x + 2)}{4}] + C$

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