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Let (a, b) be the point of intersection of the curve x 2 = 2y and the straight line y –2x – 6 = 0 in the second quadrant. Then the integral I = dx 5 1 x 9 b a x 2 ∫ + is equal to :

1. 21
2. 27
3. 24
4. 18

Correct answer: 24

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