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Problems
Mathematics
Mathematics
Problem
If
f
,
g
,
h
f, g, h
f
,
g
,
h
be continuous functions on
[
0
,
a
]
[0, a]
[
0
,
a
]
such that
f
(
a
−
x
)
=
f
(
x
)
f(a-x) = f(x)
f
(
a
−
x
)
=
f
(
x
)
,
g
(
a
−
x
)
=
−
g
(
x
)
g(a-x) = -g(x)
g
(
a
−
x
)
=
−
g
(
x
)
and
3
h
(
x
)
=
5
+
4
h
(
a
−
x
)
3h(x) = 5 + 4h(a-x)
3
h
(
x
)
=
5
+
4
h
(
a
−
x
)
, then the value of
∫
0
a
f
(
x
)
⋅
g
(
x
)
⋅
h
(
x
)
d
x
\int_{0}^{a} f(x) \cdot g(x) \cdot h(x) dx
∫
0
a
f
(
x
)
⋅
g
(
x
)
⋅
h
(
x
)
d
x
is a. 0 b. 1 c.
a
a
a
d.
2
a
2a
2
a
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