Answer
y=$\frac{1}{2}$sin2x+C
Work Step by Step
dy=cos2xdx
$\int$dy=$\int$cos2xdx
$\int$dy=$\frac{1}{2}$$\int$cos2x(2)dx
u=2x, du=2dx
$\int$cosudu=sinu+C
y=$\frac{1}{2}$sin2x+C
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