Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
H
(
x
)
=
∫
x
2
sin
x
4
1
+
t
d
t
H(x)=\displaystyle\int_{x^{2}\sin x}^{4} \sqrt{1+t}\,dt
H
(
x
)
=
∫
x
2
s
i
n
x
4
1
+
t
d
t
. What is
H
′
(
π
2
)
H'\!\left(\dfrac{\pi}{2}\right)
H
′
(
2
π
)
? a)
−
1
+
π
2
4
-\sqrt{1+\dfrac{\pi^{2}}{4}}
−
1
+
4
π
2
b)
−
π
2
2
-\dfrac{\pi^{2}}{2}
−
2
π
2
c)
−
π
1
+
π
2
4
-\pi\sqrt{1+\dfrac{\pi^{2}}{4}}
−
π
1
+
4
π
2
d)
π
1
+
π
2
4
\pi\sqrt{1+\dfrac{\pi^{2}}{4}}
π
1
+
4
π
2
Browse the problem library