Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Problem
Problem
Number of critical points of the function,
f
(
x
)
=
2
3
x
3
−
x
2
+
∫
1
x
(
1
2
+
1
2
cos
2
t
−
t
)
d
t
f(x) = \frac{2}{3} \sqrt{x^3} - \frac{x}{2} + \int_{1}^{x} \left( \frac{1}{2} + \frac{1}{2} \cos 2t - \sqrt{t} \right) dt
f
(
x
)
=
3
2
x
3
−
2
x
+
∫
1
x
(
2
1
+
2
1
cos
2
t
−
t
)
d
t
which lie in the interval
[
−
2
π
,
2
π
]
[-2\pi, 2\pi]
[
−
2
π
,
2
π
]
is .....
Browse the problem library