Mathematics · 2019
JEE Main · 11 January 2019, Shift 1 · Q74
If ∫ (√(1-x^2))/x^4 d x= A (x)(√(1-x^2))^m + C, for a suitable chosen integer m and a function A (x), where C is a constant of integration, then ( A…
If $\displaystyle \int \frac{\sqrt{1-x^2}}{x^4} d x=\mathrm{A}(x)\left(\sqrt{1-x^2}\right)^{\mathrm{m}}+\mathrm{C}$,
for a suitable chosen integer m and a function $\displaystyle \mathrm{A}(x)$, where C is a constant of integration, then $\displaystyle (\mathrm{A}(x))^{\mathrm{m}}$ equals :
Official answer
(3)
$\displaystyle \frac{-1}{27 x^9}$
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.