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Writing sin³x as sin x(1 − cos²x), the integral over 0 to π/2 is
Aπ/4
B2/3
C3π/16
D1/3
Answer & Solution
Correct answer: B. 2/3
Writing sin³x = sin x(1 − cos²x) and putting u = cos x gives 1 − 1/3 = 2/3.
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