You may not know integration. But using dimensional analysis you can check or prove results. In ....

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You may not know integration. But using
\( \mathrm{P} \)
dimensional analysis you can check or prove
W
results. In the integral
\[
\int \frac{d x}{\left(2 a x-x^{2}\right)^{1 / 2}}=a^{n} \sin ^{-1}\left(\frac{x}{a}-1\right)
\]
the value of \( n \) should be-
(A) 1
(B) -1
(C) 0
(D) \( \frac{1}{2} \)


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