JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1

\int \frac{d x}{\left(x^2+a^2\right)^3}=\frac{x}{4 a^2\left(x^2+a^2\right)}+\frac{m}{n a^2}

\left\{\frac{x}{2 a^2\left(x^2+a^2\right)}+\frac{1}{2 a^3} \tan ^{-1}\left(\frac{x}{a}\right)\right\}+C

. Then

|m-n|

is equal to

View answer and explanation

Correct option: D

Option D is correct because after evaluating the integral and comparing coefficients, the absolute difference between m and n is found to be 1.

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