Given that
\[\int \frac{d x}{\sqrt{2 a x-x^{2}}}=a^{n} \sin ^{-1}\left(\frac{x-a}{a}\... VIDEO
Given that
\[\int \frac{d x}{\sqrt{2 a x-x^{2}}}=a^{n} \sin ^{-1}\left(\frac{x-a}{a}\right)\]
where \( a \) is a constant. Using dimensional analysis, the value of \( n \) is
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