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CBSE
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
If
I
n
=
∫
(
ln
x
)
n
d
x
I_n=\int(\ln x)^n\,dx
I
n
=
∫
(
ln
x
)
n
d
x
, then
I
n
+
n
I
n
−
1
=
I_n+nI_{n-1}=
I
n
+
n
I
n
−
1
=
(a)
(
ln
x
)
n
x
+
C
\frac{(\ln x)^n}{x}+C
x
(
l
n
x
)
n
+
C
(b)
x
(
ln
x
)
n
−
1
+
C
x(\ln x)^{n-1}+C
x
(
ln
x
)
n
−
1
+
C
(c)
x
(
ln
x
)
n
+
C
x(\ln x)^n+C
x
(
ln
x
)
n
+
C
(d) None of these
Related theory
Integration by Parts
Integration Techniques
Integrals
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