$\int\:\:sin^6\:2x\:cos^6\:2xdx$

$\frac{-\sin\left(2x\right)^{5}\cos\left(2x\right)^{7}}{24}+\frac{\cos\left(2x\right)^{5}\sin\left(2x\right)}{96}+\frac{5\cos\left(2x\right)^{3}\sin\left(2x\right)}{384}+\frac{5}{128}x+\frac{5}{512}\sin\left(4x\right)+\frac{-\cos\left(2x\right)^{7}\sin\left(2x\right)}{128}+\frac{-7\cos\left(2x\right)^{5}\sin\left(2x\right)}{768}-\frac{35}{24576}\sin\left(8x\right)-\frac{35}{3072}x-\frac{35}{3072}\sin\left(4x\right)-\frac{35}{1536}x-\frac{1}{48}\sin\left(2x\right)^{3}\cos\left(2x\right)^{7}+C_0$