$\int\cos^5\left(x\right)\sin^{10}\left(x\right)dx$

$\frac{-\sin\left(x\right)^{9}\cos\left(x\right)^{6}}{15}+\frac{1}{715}\cos\left(x\right)^{4}\sin\left(x\right)+\frac{28\cos\left(x\right)^{2}\sin\left(x\right)}{2145}+\frac{56}{2145}\sin\left(x\right)-\frac{1}{143}\cos\left(x\right)^{6}\sin\left(x\right)-\frac{24}{715}\sin\left(x\right)+\frac{8}{715}\sin\left(x\right)^{3}-\frac{7}{429}\sin\left(x\right)^{3}\cos\left(x\right)^{6}+\frac{-21\sin\left(x\right)^{5}\cos\left(x\right)^{6}}{715}+\frac{-3\sin\left(x\right)^{7}\cos\left(x\right)^{6}}{65}+C_0$