\( \int \frac{x d x}{\sqrt{2 a x-x^{2}}}=a^{n} \sin ^{-1}\left[\fra...

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\( \int \frac{x d x}{\sqrt{2 a x-x^{2}}}=a^{n} \sin ^{-1}\left[\frac{x}{a}-1\right] \). The value of \( n \) is:
\( \mathrm{P} \)
You may use dimensional analysis to solve the problem.
(a) 0
(b) \( -1 \)
(c) 1
(d) None of these
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