1.

(1)/(sqrt((x-1)(x-2)))

Answer»

Solution :` 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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