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Byju's Answer
Standard XII
Mathematics
Bijective Function
∫log x2 d x=A...
Question
∫
(
l
o
g
x
)
2
d
x
=
A
x
(
l
o
g
x
)
2
−
2
x
l
o
g
x
−
2
x
+
c
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B
x
(
l
o
g
x
)
2
−
2
x
l
o
g
x
−
x
+
c
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C
x
(
l
o
g
x
)
2
−
2
x
l
o
g
x
+
2
x
+
c
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D
x
(
l
o
g
x
)
2
−
2
x
l
o
g
x
+
x
+
c
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Solution
The correct option is
C
x
(
l
o
g
x
)
2
−
2
x
l
o
g
x
+
2
x
+
c
∫
(
l
o
g
x
)
2
d
x
Put
l
o
g
x
=
t
⇒
e
t
=
x
⇒
d
x
=
e
t
d
t
, then it reduces to
∫
t
2
.
e
t
d
t
=
t
2
e
t
−
2
t
e
t
+
2
e
t
+
c
=
x
(
l
o
g
x
)
2
−
2
x
l
o
g
x
+
2
x
+
c
Suggest Corrections
3
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