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IIT JEE Advanced 2012 Paper 2

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Paragraph for Questions 51 and 52:
Let f (x) = (1−x)2sin2x+x2 for all x ∊ R, and let g (x) =
x
∫
1
(
2(t−1)
t+1
−ln‌t) f (t) dt for all x ∊ (1 , ∞).
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Question : 52
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