1.

फलन का x के सापेक्ष समाकलन कीजिए - ` (1)/( sqrt ((x-1) (x -2)))`

Answer» `int(1)/(sqrt((x-1)(x-2)))dx`
`=int(1)/(sqrt(x^(2)-3x+2))dx`
`=int(1)/(sqrt((x^(2)-3x+(9)/(4))+2-(9)/(4)))dx`
`=int(1)/(sqrt((x-(3)/(2))^(2)-((1)/(2))^(2)))dx`
`=log|x-(3)/(2)+sqrt((x-(3)/(2))^(2)-((1)/(2))^(2))|+c`
`=log|x-(3)/(2)+sqrt(x^(2)-3x+2)|+c`


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