Which form of rational function \frac{px+q}{(x-a)^2} represents?

Category: QuestionsWhich form of rational function \frac{px+q}{(x-a)^2} represents?
Editor">Editor Staff asked 11 months ago

Which form of rational function \frac{px+q}{(x-a)^2}
represents?
 
(a) \frac{A}{(x-a)} + \frac{B}{(x-a)^2}
 
 
(b) \frac{A}{(x-a)^2} + \frac{B}{(x-a)}
 
 
(c) \frac{A}{(x-a)} – \frac{B}{(x-a)^2}
 
 
(d) \frac{A}{(x-a)} – \frac{B}{(x-a)}
 
 
The question was posed to me in exam.
 
I want to ask this question from Integration by Partial Fractions in portion Integrals of Mathematics – Class 12
NCERT Solutions for Subject Clas 12 Math Select the correct answer from above options 
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1 Answers
Editor">Editor Staff answered 11 months ago

Right option is (a)
A
(x−a)
+
B
(x−a
)
2
 
 
Best explanation: It is a form of the given partial fraction
px+q
(x−a
)
2
which can also be written as
 
A
(x−a)
+
B
(x−a
)
2
and is further used to solve integration by partial fractions numerical.