$\int cos^5xsin^{29}xdx$

$\frac{-\sin\left(x\right)^{28}\cos\left(x\right)^{6}}{34}+\frac{3}{272}\sin\left(x\right)^{22}+\frac{-33\sin\left(x\right)^{20}}{1360}+\frac{11}{816}\sin\left(x\right)^{18}+\frac{-11\sin\left(x\right)^{18}\cos\left(x\right)^{6}}{816}-\frac{11}{680}\sin\left(x\right)^{20}\cos\left(x\right)^{6}-\frac{13}{680}\sin\left(x\right)^{22}\cos\left(x\right)^{6}+\frac{-91\sin\left(x\right)^{24}\cos\left(x\right)^{6}}{4080}-\frac{7}{272}\sin\left(x\right)^{26}\cos\left(x\right)^{6}+C_0$