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Byju's Answer
Standard XII
Mathematics
Integration by Partial Fractions
3x2-x/2 5 =x...
Question
(
3
x
2
−
x
2
)
5
=
x
2
5
[
(
6
x
)
5
−
5
(
6
x
)
4
+
A
(
6
x
)
3
−
10
(
6
x
)
2
+
5
(
6
x
)
−
1
]
. Find A
A
10
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B
20
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C
5
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D
15
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Solution
The correct option is
A
10
(
3
x
2
−
x
2
)
5
=
x
2
5
(
6
x
−
1
)
5
=
x
2
5
[
(
6
x
)
5
−
5
C
1
(
6
x
)
4
+
5
C
2
(
6
x
)
3
−
5
C
3
(
6
x
)
2
+
5
C
4
(
6
x
)
−
1
]
=
x
2
5
[
(
6
x
)
5
−
5
(
6
x
)
4
+
10
(
6
x
)
3
−
10
(
6
x
)
2
+
5
(
6
x
)
−
1
]
.
so,
A
=
10
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