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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)/(9x^4)`

B

` (-1)/(27 x ^9)`

C

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

D

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

Text Solution

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The correct Answer is:
B
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