Question

kindly integrate this please.

int. dx / x sqr (2ax - x^2) let x + 2a sin^2x

Answer 1

\[\int\limits dx / x \sqrt{2ax - x^2}\]

let x = 2ax sin^x

Answer 2

let x = 2a sin^2x **

Answer 3

is this right problem?
\[\int\limits_{}^{}\frac{dx}{x \sqrt{2ax-x^2}} =\int\limits_{}^{}\frac{dx}{x \sqrt{-(x^2-2ax)}} \]
\[\int\limits_{}^{}\frac{dx}{x \sqrt{(- (x^2- 2ax+a^2)+a^2}} =\int\limits_{}^{}\frac{dx}{x \sqrt{-(x-a)^2+a^2}}\]