Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
∫
[
1
log
x
−
1
(
log
x
)
2
]
d
x
=
\int \left[ \frac{1}{\log x} - \frac{1}{(\log x)^2} \right] dx =
∫
[
l
o
g
x
1
−
(
l
o
g
x
)
2
1
]
d
x
=
(a)
1
log
x
+
c
\frac{1}{\log x} + c
l
o
g
x
1
+
c
(b)
x
log
x
+
c
\frac{x}{\log x} + c
l
o
g
x
x
+
c
(c)
x
(
log
x
)
2
+
c
+
c
\frac{x}{(\log x)^2} + c + c
(
l
o
g
x
)
2
x
+
c
+
c
(d) None of these (a)
1
log
x
+
c
\frac{1}{\log x} + c
l
o
g
x
1
+
c
(b)
x
log
x
+
c
\frac{x}{\log x} + c
l
o
g
x
x
+
c
(c)
x
(
log
x
)
2
+
c
+
c
\frac{x}{(\log x)^2} + c + c
(
l
o
g
x
)
2
x
+
c
+
c
(d) None of these
Browse the problem library