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In a partial fraction decomposition
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
In a partial fraction decomposition, what should be the most general numerator corresponding to an irreducible quadratic factor
x
2
+
4
x
+
5
x^{2}+4x+5
x
2
+
4
x
+
5
that appears once in the denominator? (a)
A
A
A
(b) No numerator term is needed (c)
A
x
+
B
Ax+B
A
x
+
B
(d)
A
x
2
+
B
x
+
C
Ax^{2}+Bx+C
A
x
2
+
B
x
+
C
Related theory
Integration Techniques
Integration by partial fractions
Integrals
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