Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The average value of
f
(
x
)
=
sin
(
k
x
)
f(x)=\sin(kx)
f
(
x
)
=
sin
(
k
x
)
on the interval
[
0
,
π
]
[0,\pi]
[
0
,
π
]
is
2
π
\dfrac{2}{\pi}
π
2
. The smallest positive integer
k
k
k
satisfying this condition is a)
3
3
3
b)
2
2
2
c)
1
1
1
d)
4
4
4
Browse the problem library