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X (1+ x)^2 ,dx
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
∫
log
x
(
1
+
log
x
)
2
d
x
\int\frac{\log x}{(1+\log x)^2}\,dx
∫
(
1
+
lo
g
x
)
2
lo
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
Related theory
Integration Techniques
Integration by Substitution
Integrals
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