You may not know integration but by using dimensional analysis you can check on some results. In...

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You may not know integration but by using dimensional analysis you can check on some results. In the integral \( \int d x /\left(2 a x-x^{2}\right)^{1 / 2}=a^{n} \sin ^{-1}(x / a-1) \), the value of \( n \) is
(A) 1
(B) \( -1 \)
(C) \( \frac{1}{2} \)
(D) undefined
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