Evaluate ∫₀^(π/2) sin⁴ x dx.
Evaluate ∫₀^(π/2) sin⁴ x dx.
- A. 3π/16
- B. π/8
- C. π/4
- D. 3π/8
Answer: A) 3π/16
Explanation: Using reduction: ∫₀^(π/2) sin⁴ x dx = (3·1)/(4·2) × π/2 = 3π/16.
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Evaluate ∫₀^(π/2) sin⁴ x dx.
Answer: A) 3π/16
Explanation: Using reduction: ∫₀^(π/2) sin⁴ x dx = (3·1)/(4·2) × π/2 = 3π/16.
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