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You may not know integration , but using...

You may not know integration , but using dimensional analysis you can check on some results . In the integral `int ( dx)/(( 2ax - x^(2))^(1//2)) = a^(n) sin^(-1) ((x)/(a) -1)`, find the valiue of `n` .

Text Solution

Verified by Experts

`[(dx)/(sqrta( 2 as - x^(2))]` is dimensionless.
Therefore ` [a^(2) sin ^(-1) ((s)/(a) - 1 )]` should also be dimension Hence,` a = 0 `
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