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Let . What is the smallest positive length such that the average value of on is…
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
Let
f
(
x
)
=
cos
x
f(x)=\cos x
f
(
x
)
=
cos
x
. What is the smallest positive length
L
L
L
such that the average value of
f
f
f
on
[
0
,
L
]
[0,L]
[
0
,
L
]
is
0
0
0
? (a)
2
π
2\pi
2
π
(b)
π
2
\dfrac{\pi}{2}
2
π
(c)
π
\pi
π
(d)
3
π
2
\dfrac{3\pi}{2}
2
3
π
Related theory
Applications of Integration
Properties of definite integrals
Definite integrals
Integrals
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