Integral sin^2 2x dx

[tex]
\int{\sin^2{(2x)}}dx=\int{(\frac{1}{2}-\frac{1}{2}\cos{(2\cdot2x)})}dx=\frac{1}{2}x-\frac{1}{2}\cdot\frac{1}{4}\sin{(4x)}+C
[/tex]