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Problems
Express in the form and find the values of and .
MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals
Problem
Express
3
x
+
5
(
x
−
2
)
2
\dfrac{3x+5}{(x-2)^{2}}
(
x
−
2
)
2
3
x
+
5
in the form
A
x
−
2
+
B
(
x
−
2
)
2
\dfrac{A}{x-2}+\dfrac{B}{(x-2)^{2}}
x
−
2
A
+
(
x
−
2
)
2
B
and find the values of
A
A
A
and
B
B
B
.
Related theory
Integration Techniques
Integration by partial fractions
Integrals
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