If 1-x^ 2 x^ 4 d x=A(x) ( 1-x^ 2 )^ m +C , for a suitable chosen integer m and a function…
Mathematics · JEE Main · NTA Exams — Integral Calculus
If \(\int \frac{\sqrt{1-x^{2}}}{x^{4}} d x=A(x)\left(\sqrt{1-x^{2}}\right)^{m}+C\), for a suitable chosen integer m and a function A(x), where C is a constant of integration, then (A(x))m equals:
- \(\frac{1}{27 x^{6}}\)
- \(\frac{-1}{27 x^{3}}\)
- \(\frac{9}{9 x^{4}}\)
- \(\frac{1}{3 x^{3}}\)
Answer
(B) -1 27 x^ 3
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