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For 0 < a < 1, the value of the integral ∫ π + − 0 2 a x cos a 2 1 dx is:

1. 2 a + π π
2. 2 a 1 + π
3. 2 a 1 − π
4. 2 2 a − π π

Correct answer: 2 a 1 − π

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