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Byju's Answer
Standard XII
Mathematics
Logarithmic Inequalities
∫ 123 × 9 × 2...
Question
∫
1
2
3
x
9
x
2
-
1
d
x
Open in App
Solution
Let
x
2
=
t
.
Then
,
2
x
d
x
=
d
t
When
x
=
1
,
t
=
1
and
x
=
2
,
t
=
4
∴
I
=
∫
1
2
3
x
9
x
2
-
1
d
x
⇒
I
=
3
2
∫
1
4
d
t
9
t
-
1
⇒
I
=
3
18
log
9
t
-
1
1
4
⇒
I
=
3
18
log
35
-
log
8
⇒
I
=
log
35
-
log
8
6
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0
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