# 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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Editor">Editor Staff answered 11 months ago

Right option is (a) \frac{A}{(x-a)} + \frac{B}{(x-a)^2}

Best explanation: It is a form of the given partial fraction \frac{px+q}{(x-a)^2} which can also be written as

\frac{A}{(x-a)} + \frac{B}{(x-a)^2} and is further used to solve integration by partial fractions numerical.