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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

Answer» 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.


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