Question Number 89652 by john santu last updated on 18/Apr/20
![If (y(x−y))^2 = x and ∫ (dx/((x−3y))) = ((m/n)) log [ (x−y)^2 −1] then m+2n = A.1 B. 3 C. 5 D.7](https://www.tinkutara.com/question/Q89652.png)
$$\mathrm{If}\:\left({y}\left({x}−{y}\right)\right)^{\mathrm{2}} \:=\:{x}\:{and}\: \\ $$$$\int\:\frac{{dx}}{\left({x}−\mathrm{3}{y}\right)}\:=\:\left(\frac{{m}}{{n}}\right)\:\mathrm{log}\:\left[\:\left({x}−{y}\right)^{\mathrm{2}} −\mathrm{1}\right] \\ $$$${then}\:{m}+\mathrm{2}{n}\:=\: \\ $$$${A}.\mathrm{1}\:\:\:\:\:{B}.\:\mathrm{3}\:\:\:\:\:\:\:\:{C}.\:\mathrm{5}\:\:\:\:\:\:\:\:\:{D}.\mathrm{7} \\ $$