Exercise
$\int cos^6\theta\:sin^2\theta\:d\theta\:$
Step-by-step Solution
Final answer to the exercise
$\frac{5}{8}\left(\frac{1}{2}\theta+\frac{1}{4}\sin\left(2\theta\right)\right)+\frac{5\cos\left(\theta\right)^{3}\sin\left(\theta\right)}{24}+\frac{\cos\left(\theta\right)^{5}\sin\left(\theta\right)}{6}-\frac{35}{1536}\sin\left(4\theta\right)-\frac{35}{384}\theta-\frac{35}{192}\sin\left(2\theta\right)-\frac{35}{192}\theta+\frac{-7\cos\left(\theta\right)^{5}\sin\left(\theta\right)}{48}+\frac{-\cos\left(\theta\right)^{7}\sin\left(\theta\right)}{8}+C_0$