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Write the simplest form in which a proper rational function
MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals
Problem
Write the simplest form in which a proper rational function
P
(
x
)
(
x
−
a
)
(
x
−
b
)
(
x
−
c
)
\dfrac{P(x)}{(x-a)(x-b)(x-c)}
(
x
−
a
)
(
x
−
b
)
(
x
−
c
)
P
(
x
)
, where
a
a
a
,
b
b
b
and
c
c
c
are distinct real numbers, can be expressed as a sum of simpler rational terms.
Related theory
Integration Techniques
Integration by partial fractions
Integrals
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