Question Detail

MTH 102 Practice Questions MTH 102 Objective Question

Question

By Wallis' formula, evaluate ∫₀^(π/2) cos⁴x dx
Options
A 3π/17
B 19π/20
C 3π/16
Correct Answer
D 3π/20
Correct Answer

Option C is the correct answer.

Detailed Explanation

By Wallis' formula for an even power n=4: (3/4)(1/2)(π/2)=3π/16.

Hint

For an even power alone, Wallis' formula ends in a factor of π/2.

Question Info