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