allery∫₀^(π/2) sin x cos x dx equals:
Aπ/4
B1/2
C0
D1
Answer & Solution
Correct answer: B. 1/2
sin x cos x = (1/2) sin(2x).
**So integral = (1/2) ∫₀^(π/2) sin(2x) dx = (1/2)[-cos(2x)/2]₀^(π/2) = (1/4)[1 - (-1)] = 1/2.**
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