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Mathematics
Problem
∫
log
x
(
1
+
log
x
)
2
d
x
\int \frac{\log x}{(1 + \log x)^2} dx
∫
(
1
+
l
o
g
x
)
2
l
o
g
x
d
x
(a)
1
1
+
log
x
+
c
\frac{1}{1 + \log x} + c
1
+
l
o
g
x
1
+
c
(b)
x
(
1
+
log
x
)
2
+
c
\frac{x}{(1 + \log x)^2} + c
(
1
+
l
o
g
x
)
2
x
+
c
(c)
x
1
+
log
x
+
c
\frac{x}{1 + \log x} + c
1
+
l
o
g
x
x
+
c
(d)
1
(
1
+
log
x
)
2
+
c
\frac{1}{(1 + \log x)^2} + c
(
1
+
l
o
g
x
)
2
1
+
c
(a)
1
1
+
log
x
+
c
\frac{1}{1 + \log x} + c
1
+
l
o
g
x
1
+
c
(b)
x
(
1
+
log
x
)
2
+
c
\frac{x}{(1 + \log x)^2} + c
(
1
+
l
o
g
x
)
2
x
+
c
(c)
x
1
+
log
x
+
c
\frac{x}{1 + \log x} + c
1
+
l
o
g
x
x
+
c
(d)
1
(
1
+
log
x
)
2
+
c
\frac{1}{(1 + \log x)^2} + c
(
1
+
l
o
g
x
)
2
1
+
c
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