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If , then is equal…
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
If
I
n
=
∫
1
e
(
log
x
)
n
d
x
I_n=\int_1^e(\log x)^n\,dx
I
n
=
∫
1
e
(
lo
g
x
)
n
d
x
, then
I
n
+
n
I
n
−
1
I_n+nI_{n-1}
I
n
+
n
I
n
−
1
is equal to: (1)
1
e
\frac{1}{e}
e
1
(2)
e
e
e
(3)
e
−
1
e-1
e
−
1
(4) None of these
Related theory
Integration by Parts
Integration Techniques
Integrals
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