Exercise
$\int\sin\left(3x\right)^6\cos\left(3x\right)^5dx$
Step-by-step Solution
Final answer to the exercise
$\frac{-\sin\left(3x\right)^{5}\cos\left(3x\right)^{6}}{33}+\frac{1}{99}\cos\left(3x\right)^{4}\sin\left(3x\right)+\frac{4\cos\left(3x\right)^{2}\sin\left(3x\right)}{297}+\frac{8}{297}\sin\left(3x\right)+\frac{-5\cos\left(3x\right)^{6}\sin\left(3x\right)}{693}-\frac{2}{231}\cos\left(3x\right)^{4}\sin\left(3x\right)-\frac{8}{231}\sin\left(3x\right)+\frac{8\sin\left(3x\right)^{3}}{693}+\frac{-5\sin\left(3x\right)^{3}\cos\left(3x\right)^{6}}{297}+C_0$