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Byju's Answer
Standard XII
Mathematics
Integration by Partial Fractions
If lnx+1 2l...
Question
If
(
l
n
x
+
1
)
(
2
l
n
x
−
3
)
(
l
n
x
−
2
)
=
α
2
l
n
x
−
3
+
β
l
n
x
−
2
then
α
2
−
β
2
=
...
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Solution
(
l
n
x
+
1
)
(
2
l
n
x
−
3
)
(
l
n
x
−
2
)
=
α
2
l
n
x
−
3
+
β
l
n
x
−
2
⇒
(
l
n
x
+
1
)
=
α
(
l
n
x
−
2
)
+
β
(
2
l
n
x
−
3
)
For
x
=
e
2
we get
β
=
3
And for
x
=
e
3
/
2
we get
α
=
5
Therefore,
α
2
−
β
2
=
25
−
9
=
16
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0
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