Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
f
(
x
)
f(x)
f
(
x
)
be an even function which is mapped from
(
−
π
,
π
)
(-\pi, \pi)
(
−
π
,
π
)
. Then, the value of
∫
−
π
π
(
∫
0
x
f
(
t
)
d
t
+
[
f
(
x
)
]
)
d
x
\int_{-\pi}^{\pi} \left( \int_{0}^{x} f(t) dt + [f(x)] \right) dx
∫
−
π
π
(
∫
0
x
f
(
t
)
d
t
+
[
f
(
x
)]
)
d
x
can be (where,
[
⋅
]
[ \cdot ]
[
⋅
]
denotes greatest integer function) a. 0 b.
π
\pi
π
c.
2
π
2\pi
2
π
d.
4
π
4\pi
4
π
Browse the problem library