Exercise
$\int sin^8\left(3x\right)\cos^5\left(3x\right)dx$
Step-by-step Solution
Final answer to the exercise
$\frac{-\sin\left(3x\right)^{7}\cos\left(3x\right)^{6}}{39}+\frac{7}{1287}\cos\left(3x\right)^{4}\sin\left(3x\right)+\frac{28\cos\left(3x\right)^{2}\sin\left(3x\right)}{3861}+\frac{56}{3861}\sin\left(3x\right)-\frac{5}{1287}\cos\left(3x\right)^{6}\sin\left(3x\right)-\frac{2}{429}\cos\left(3x\right)^{4}\sin\left(3x\right)-\frac{8}{429}\sin\left(3x\right)+\frac{8\sin\left(3x\right)^{3}}{1287}+\frac{-35\sin\left(3x\right)^{3}\cos\left(3x\right)^{6}}{3861}+\frac{-7\sin\left(3x\right)^{5}\cos\left(3x\right)^{6}}{429}+C_0$