`int(dx)/(sqrt((1-x)(x-2)))` is equal toA. `sin^(-1)(2x-3)+C`B. `sin^(-1)(2x+5)+C`C. `SIN^(-1)(3-2X)+C`D. `sin^(-1)(5-2x)+C`

`int(dx)/(sqrt((1-x)(x-2)))` is equal toA. `sin^(-1)(2x-3)+C`B. `sin^(

1.	`int(dx)/(sqrt((1-x)(x-2)))` is equal toA. `sin^(-1)(2x-3)+C`B. `sin^(-1)(2x+5)+C`C. `SIN^(-1)(3-2X)+C`D. `sin^(-1)(5-2x)+C`
Answer» Correct Answer - A Let `I=int(dx)/(sqrt((1-x)(x-2)))` `=int(dx)/(sqrt(-x^(2)+3x-2))int(dx)/(sqrt((1)/(4)-(x-(3)/(2))^(2)))` `=sin^(-1)(((x-(3)/(2)))/((1)/(2)))+C=sin^(-1)(2x-3)+C`