Question Detail

MTH 102 Practice Questions MTH 102 Objective Question

Question

By Wallis' formula, evaluate ∫₀^(π/2) cos⁵x·sin²x dx
Options
A 8/105
Correct Answer
B 9/79
C 9/200
D 19/109
Correct Answer

Option A is the correct answer.

Detailed Explanation

Applying Wallis' formula for m=5 (odd), n=2 (even) gives 8/105.

Hint

Apply Wallis' formula for the mixed odd-cosine, even-sine combination.

Question Info