Application of Derivatives

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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 , ∞).
Section: Mathematics
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Question : 24 of 32
 
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Which of the following is true?
[JEE Adv 2012 P2]
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