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