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UPSC NDA Math Model Paper 8
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© examsnet.com
Question : 13
Total: 120
∫
1
x
(
log
x
)
d
x
is equal to:
log
(
log
x
)
+
C
1
2
(
log
x
)
2
+
C
−
cot
x
2
+
C
x
2
+
C
Validate
Solution:
∫
1
x
(
log
x
)
d
x
Let log x = t.
⇒
1
x
d
x
=
d
t
I
=
∫
t
d
t
=
t
2
2
+
C
=
1
2
(
log
x
)
2
+
C
© examsnet.com
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