Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Determine
∫
(
ln
x
)
e
(
ln
x
)
2
x
d
x
\displaystyle \int \frac{(\ln x)\,e^{(\ln x)^2}}{x}\,dx
∫
x
(
ln
x
)
e
(
l
n
x
)
2
d
x
. a)
1
2
x
2
+
C
\dfrac{1}{2} x^{2} + C
2
1
x
2
+
C
b)
e
(
ln
x
)
2
+
C
e^{(\ln x)^{2}} + C
e
(
l
n
x
)
2
+
C
c)
1
2
e
(
ln
x
)
2
+
C
\dfrac{1}{2}\,e^{(\ln x)^{2}} + C
2
1
e
(
l
n
x
)
2
+
C
d)
1
2
x
e
(
ln
x
)
2
+
C
\dfrac{1}{2} x\,e^{(\ln x)^{2}} + C
2
1
x
e
(
l
n
x
)
2
+
C
Browse the problem library