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CBSE
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
∫
d
x
x
(
x
n
+
1
)
=
\int\frac{dx}{x(x^n+1)}=
∫
x
(
x
n
+
1
)
d
x
=
(a)
n
log
x
n
x
n
+
1
+
c
n\log\frac{x^n}{x^n+1}+c
n
lo
g
x
n
+
1
x
n
+
c
(b)
n
log
x
n
+
1
x
n
+
c
n\log\frac{x^n+1}{x^n}+c
n
lo
g
x
n
x
n
+
1
+
c
(c)
1
n
log
x
n
x
n
+
1
+
c
\frac{1}{n}\log\frac{x^n}{x^n+1}+c
n
1
lo
g
x
n
+
1
x
n
+
c
(d)
1
n
log
x
n
+
1
x
n
+
c
\frac{1}{n}\log\frac{x^n+1}{x^n}+c
n
1
lo
g
x
n
x
n
+
1
+
c
Related theory
Logarithmic Functions
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Integration by Substitution
Integrals
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