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IIT JEE Advanced 2007 Paper 2

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Question : 52

Total: 66

Let f (x) =

for n ≥ 2 and g (x) =

f‌occurs‌n‌times

(x).
Then ∫xn−1g(x) dx equals

1
n(n−1)
(1−nxn)1−
1
n
+ K
1
n−1
(1−nxn)1−
1
n
+ K
1
n(n−1)
(1+nxn)1−
1
n
+ K
1
n(n+1)
(1+nxn)1+
1
n
+ K

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