Question Detail
Question
By Wallis' formula, evaluate ∫₀^(π/2) sin³x·cos⁴x dx
Correct Answer
Option C is the correct answer.
Detailed Explanation
This is an odd power of sine times an even power of cosine; Wallis' formula for this combination gives 4/105.
Hint
Since sine's power is odd, use the substitution/Wallis reduction that applies to mixed odd-even powers.