Definite Integral Odd Function (Jee Mains) | ExamDuo
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Definite Integration Properties
Hard
Definite Integral Odd Function
Let
f
(
x
)
=
x
∫
0
g
(
t
)
log
e
(
1
−
t
1
+
t
)
dt
, where
g
is a continuous odd function.
If
π
∕
2
∫
−
π
∕
2
(
f
(
x
)
+
x
2
cos
x
1
+
e
x
)
dx
=
(
π
α
)
2
−
α
, then
α
is equal to.............
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