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Mathematics
Mathematics
Problem
Find the average value of
p
(
x
)
=
∣
x
∣
cos
x
p(x)=|x|\cos x
p
(
x
)
=
∣
x
∣
cos
x
on the interval
[
−
π
,
π
]
[-\pi,\pi]
[
−
π
,
π
]
. a) 0 b)
−
4
π
-\dfrac{4}{\pi}
−
π
4
c)
−
2
π
-\dfrac{2}{\pi}
−
π
2
d)
1
π
\dfrac{1}{\pi}
π
1
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