$\int\left(cos^7\left(x\right)sin^6\left(x\right)\right)dx$

$\frac{-\sin\left(x\right)^{5}\cos\left(x\right)^{8}}{13}+\frac{15\cos\left(x\right)^{6}\sin\left(x\right)}{1001}+\frac{18}{1001}\cos\left(x\right)^{4}\sin\left(x\right)+\frac{24}{1001}\cos\left(x\right)^{2}\sin\left(x\right)+\frac{48}{1001}\sin\left(x\right)-\frac{5}{429}\cos\left(x\right)^{8}\sin\left(x\right)+\frac{40\sin\left(x\right)^{7}}{3003}-\frac{8}{143}\sin\left(x\right)^{5}+\frac{40\sin\left(x\right)^{3}}{429}-\frac{40}{429}\sin\left(x\right)+\frac{-5\sin\left(x\right)^{3}\cos\left(x\right)^{8}}{143}+C_0$