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Definite Integrals Part 3

Section: Mathematics
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Question : 78 of 115
 
Marks: +1, -0
Let f(x)=
x
∫
0
g(t)loge(‌
1−t
1+t
)‌dt, where g is a continuous odd function.
If
π∕2
∫
−π∕2
(f(x)+‌
x2‌cos‌x
1+ex
)‌dx=(‌
Ï€
α
)2−α, then α is equal to.............
[27-Jan-2024 Shift 2]
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