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Write as and determine and .
MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals
Problem
Write
5
x
−
1
x
(
x
−
3
)
2
\dfrac{5x-1}{x(x-3)^{2}}
x
(
x
−
3
)
2
5
x
−
1
as
A
x
+
B
x
−
3
+
C
(
x
−
3
)
2
\dfrac{A}{x}+\dfrac{B}{x-3}+\dfrac{C}{(x-3)^{2}}
x
A
+
x
−
3
B
+
(
x
−
3
)
2
C
and determine
A
,
B
,
A,\;B,
A
,
B
,
and
C
C
C
.
Related theory
Integration Techniques
Integration by partial fractions
Integrals
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