$\int \frac{x d x}{\sqrt{2 a x-x^{2}}}=a^{n} \sin ^{-1}\left[\frac{x}{a}-1\right]$. The value of $n$ is —
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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 :

(You may use dimensional analysis to solve the problem.)

(1) 1

(2) 2

(3) $1 / 2$

(4) 3

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Best answer

The value of n is  1. So, The correct option of this question will be (1).

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