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For the decomposition
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
For the decomposition
2
x
2
+
3
x
−
1
(
x
−
1
)
2
(
x
+
1
)
=
A
x
−
1
+
B
(
x
−
1
)
2
+
C
x
+
1
\dfrac{2x^2+3x-1}{(x-1)^2(x+1)}=\dfrac{A}{x-1}+\dfrac{B}{(x-1)^2}+\dfrac{C}{x+1}
(
x
−
1
)
2
(
x
+
1
)
2
x
2
+
3
x
−
1
=
x
−
1
A
+
(
x
−
1
)
2
B
+
x
+
1
C
, the value of
C
C
C
is (a)
2
2
2
(b)
1
2
\dfrac{1}{2}
2
1
(c)
−
1
2
-\dfrac{1}{2}
−
2
1
(d)
−
1
-1
−
1
Related theory
Integration Techniques
Integration by partial fractions
Integrals
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