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Byju's Answer
Standard XII
Mathematics
Integration by Partial Fractions
x+12x-13x+1=A...
Question
x
+
1
(
2
x
−
1
)
(
3
x
+
1
)
=
A
2
x
−
1
+
B
3
x
+
1
⇒
16
A
+
9
B
=
A
4
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B
5
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C
6
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D
8
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Solution
The correct option is
D
6
LHS
=
x
+
1
(
2
x
−
1
)
(
3
x
+
1
)
;
R
H
S
=
A
(
2
x
−
1
)
+
(
B
)
(
3
x
+
1
)
=
A
(
3
x
+
1
)
+
B
(
2
x
−
1
)
(
2
x
−
1
)
(
3
x
+
1
)
LHS=RHS
x
+
1
=
A
(
3
x
+
1
)
+
B
(
2
x
−
1
)
keep
x
=
5
; we get
6
=
16
A
+
9
B
So,
16
A
+
9
B
=
6
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