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

Question

$\int \frac{d x}{\sqrt{2 a x-x^2}}=a^n \sin ^{-1}\left[\frac{x}{a}-1\right]$. The value of $n$ is (You may use dimensional analysis to solve the problem)

Professor PC Thomas Classes · Answer

See detailed solution for explanation.