$\int_0^{\frac{\pi}{2}} \cos ^6 x d x=$

Question

Professor PC Thomas Classes · Answer

Using Wallis' formula: $\int_0^{\pi/2} \cos^6 x dx = \frac{5 	imes 3 	imes 1}{6 	imes 4 	imes 2} 	imes \frac{\pi}{2} = \frac{5\pi}{32}$.