Beta Function Definite Integral (Jee Mains) | ExamDuo
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Definite Integrals and Reduction
Hard
Beta Function Definite Integral
If
I
m
⋅
n
=
1
∫
0
x
m
−
1
(
1
−
x
)
n
−
1
d
x
, for
m
,
n
≥
1
and
1
∫
0
x
m
−
1
+
x
n
−
1
(
1
+
x
)
m
+
n
d
x
=
α
l
m
⋅
n
,
α
∈
R
, then
α
equals ______.
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