Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Define
H
(
x
)
=
∫
2
ln
x
e
3
u
1
+
u
2
d
u
+
x
2
H(x)=\displaystyle\int_{2}^{\ln x}\frac{e^{3u}}{1+u^{2}}\,du+x^{2}
H
(
x
)
=
∫
2
l
n
x
1
+
u
2
e
3
u
d
u
+
x
2
for
x
>
0
x>0
x
>
0
. What is
H
′
(
x
)
H'(x)
H
′
(
x
)
? a)
x
3
1
+
(
ln
x
)
2
+
2
x
\dfrac{x^{3}}{1+(\ln x)^{2}}+2x
1
+
(
ln
x
)
2
x
3
+
2
x
b)
−
x
2
1
+
(
ln
x
)
2
+
2
x
-\dfrac{x^{2}}{1+(\ln x)^{2}}+2x
−
1
+
(
ln
x
)
2
x
2
+
2
x
c)
x
2
1
+
(
ln
x
)
2
+
2
x
\dfrac{x^{2}}{1+(\ln x)^{2}}+2x
1
+
(
ln
x
)
2
x
2
+
2
x
d)
x
2
1
+
(
ln
x
)
2
\dfrac{x^{2}}{1+(\ln x)^{2}}
1
+
(
ln
x
)
2
x
2
Browse the problem library