Definite Integration

Section: Mathematics

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Question : 29 of 46

Marks: +1, -0

Given that for each a∊(0,1),

lim

h→0+

‌

1−h

∫

h

t−a(1−t)a−1dt exits.Let this limit be g(a).In addition, it is given that the function g(a) is differentiable on (0,1)

The value of g(

1

2

) is

[JEE Adv 2014 P2]

π
2π
π
2
π
4

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