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If `int(sqrt(1-x^2))/x^4dx=A(x) (sqrt(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

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If `int(sqrt(1-x^2))/x^4dx=A(x) (sqrt(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(x))^m` equals
A. `(-1)/(3x^3)`
B. `(-1)/(27x^9)`
C. `1/(9x^4)`
D. `1/(27x^6)`
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Correct Answer - B
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