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If (a, b) be the orthocentre of the triangle whose vertices are (1, 2), (2, 3) and (3, 1), and I 1 = ∫ 2 b a dx ) x – x 4 sin( x , I 2 = ∫ 2 b a dx ) x – x 4 sin( , then 2 1 I I 36 is equal to :

1. 80
2. 72
3. 66
4. 88

Correct answer: 72

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