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A function y = f(x) satisfies f(x) sin 2x + sin x – (1 + cos 2 x) f ′ (x) = 0 with condition f(0) = 0. Then, f ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π 2 is equal to-

1. –1
2. 1
3. 2
4. 0

Correct answer: 1

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