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If int(dx)/((x-sqrt(x^(2)-1))^(2))=Ax^(3...

If `int(dx)/((x-sqrt(x^(2)-1))^(2))=Ax^(3)+Bx^(2)+Cx+D(x^(2)-1)^(3//2)+E`, then

A

`A=(2)/(3), B=0, C=-1`

B

`A=(1)/(3), B=0, D=(2)/(3)`

C

`A=D=(2)/(3), B=0, C=-2`

D

none of these

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The correct Answer is:
A
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