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Mathematics
Mathematics
Problem
Determine the real constant
A
A
A
for which the average value of
g
(
x
)
=
A
sin
x
g(x)=A\sin x
g
(
x
)
=
A
sin
x
on the interval
[
0
,
π
]
[0,\pi]
[
0
,
π
]
is
4
π
\dfrac{4}{\pi}
π
4
.
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