Calculus 10th Edition

$-\frac{1}{2}cos(2x) +C$
First use separation of variables on the differential equation. $\frac{dy}{dx}= sin(2x)$ $\int dy= \int sin(2x) dx$, Use U substitution, making u=2x. $y= -\frac{1}{2}cos(2x) +C$