Exercise
$\int\sin^8\left(x\right)cos^5\left(x\right)dx$
Step-by-step Solution
Final answer to the exercise
$\frac{-\sin\left(x\right)^{7}\cos\left(x\right)^{6}}{13}+\frac{7}{429}\cos\left(x\right)^{4}\sin\left(x\right)+\frac{28\cos\left(x\right)^{2}\sin\left(x\right)}{1287}+\frac{56}{1287}\sin\left(x\right)-\frac{5}{429}\cos\left(x\right)^{6}\sin\left(x\right)-\frac{2}{143}\cos\left(x\right)^{4}\sin\left(x\right)-\frac{8}{143}\sin\left(x\right)+\frac{8\sin\left(x\right)^{3}}{429}+\frac{-35\sin\left(x\right)^{3}\cos\left(x\right)^{6}}{1287}+\frac{-7\sin\left(x\right)^{5}\cos\left(x\right)^{6}}{143}+C_0$