Question Detail

MTH 102 Practice Questions MTH 102 Objective Question
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Question

By Wallis' formula, evaluate ∫₀^(π/2) cos²x·sin⁶x dx
Options
A 9π/32
B 3π/61
C 5π/32
Correct Answer
D 3π/10
Correct Answer

Option C is the correct answer.

Detailed Explanation

This is a direct application of Wallis' formula for ∫₀^(π/2) sinᵐx cosⁿx dx with m=6, n=2, giving 5π/32.

Hint

Apply the Wallis product formula for even powers of sine and cosine together.

Question Info

Course: MTH 102
Topic: Practice Questions MTH 102
Type: Objective
Difficulty: Not specified
Question 863 of 930
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