Question Detail

MTH 102 Practice Questions MTH 102 Objective Question

Question

By Wallis' formula, evaluate ∫₀^(π/2) sin⁵x dx
Options
A 8/17
B 19/20
C 8/15
Correct Answer
D 8/13
Correct Answer

Option C is the correct answer.

Detailed Explanation

By Wallis' formula for an odd power n=5: (4/5)(2/3)(1)=8/15.

Hint

Use Wallis' formula for an odd power of sine alone: multiply down (n-1)/n, (n-3)/(n-2), ... to 1.

Question Info