Question Detail
Question
By Wallis' formula, evaluate ∫₀^(π/2) sin⁶x dx
Correct Answer
Option A is the correct answer.
Detailed Explanation
By Wallis' formula for an even power n=6: (5/6)(3/4)(1/2)(π/2)=5π/32.
Hint
Multiply successive factors (n-1)/n down to 1/2, then by π/2, for this even power.