Exercise
$\int sen^6x\:cos^6xdx$
Step-by-step Solution
Final answer to the exercise
$\frac{-\sin\left(x\right)^{5}\cos\left(x\right)^{7}}{12}+\frac{\cos\left(x\right)^{5}\sin\left(x\right)}{48}+\frac{5\cos\left(x\right)^{3}\sin\left(x\right)}{192}+\frac{5}{128}x+\frac{5}{256}\sin\left(2x\right)+\frac{-\cos\left(x\right)^{7}\sin\left(x\right)}{64}+\frac{-7\cos\left(x\right)^{5}\sin\left(x\right)}{384}-\frac{35}{3072}\cdot \frac{1}{4}\sin\left(4x\right)-\frac{35}{3072}x-\frac{35}{1536}\sin\left(2x\right)-\frac{35}{1536}x-\frac{1}{24}\sin\left(x\right)^{3}\cos\left(x\right)^{7}+C_0$