Answer
$ -\frac{1}{4} $
Work Step by Step
$\frac{1}{2}cos^2(x)+C=\frac{1}{4}cos(2x) $,
$\frac{1}{2}cos^2(x)+C=\frac{1}{4}(2cos^2(x)-1) $,
$\frac{1}{2}cos^2(x)+C=\frac{1}{2}cos^2(x)-\frac{1}{4}$,
$ C=-\frac{1}{4} $
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