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

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)/(27 x^9)`

B

`(1)/(27 x^6)`

C

`(1)/(9x^4)`

D

`(-1)/(3x^3)`

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The correct Answer is:

A

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