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Express in the form and hence find the values of and .
MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals
Problem
Express
5
x
−
1
(
x
+
1
)
(
x
+
2
)
\dfrac{5x-1}{(x+1)(x+2)}
(
x
+
1
)
(
x
+
2
)
5
x
−
1
in the form
A
x
+
1
+
B
x
+
2
\dfrac{A}{x+1}+\dfrac{B}{x+2}
x
+
1
A
+
x
+
2
B
and hence find the values of
A
A
A
and
B
B
B
.
Related theory
Integration Techniques
Integration by partial fractions
Integrals
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