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∫ x x x ​ ​ ​ . x 1 ​ x 1 ​ x 1 ​ ​ ​ ​ d x = …

  1. 2 x square root of x square root of x square root of x end root end root square root of 1 over x square root of 1 over x square root of 1 over x end root end root end root plus C

  2. 1 half x squared square root of x square root of x square root of x end root end root square root of 1 over x square root of 1 over x square root of 1 over x end root end root end root plus C

  3. x square root of x square root of x square root of x end root end root square root of 1 over x square root of 1 over x square root of 1 over x end root end root end root plus C

  4. 1 half square root of x square root of x square root of x end root end root square root of 1 over x square root of 1 over x square root of 1 over x end root end root end root plus C

  5. x squared square root of x square root of x square root of x end root end root square root of 1 over x square root of 1 over x square root of 1 over x end root end root end root plus C

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Jadi,

square root of x square root of x square root of x end root end root square root of 1 over x square root of 1 over x square root of 1 over x end root end root end root open parentheses x open parentheses x. x to the power of 1 half end exponent close parentheses to the power of 1 half end exponent close parentheses to the power of 1 half end exponent. open parentheses 1 over x open parentheses 1 over x open parentheses 1 over x close parentheses to the power of 1 half end exponent close parentheses to the power of 1 half end exponent close parentheses to the power of 1 half end exponent equals x to the power of 1 half end exponent open parentheses open parentheses x to the power of 1 plus 1 half end exponent close parentheses to the power of 1 half end exponent close parentheses to the power of 1 half end exponent. open parentheses 1 over x open parentheses open parentheses 1 over x close parentheses to the power of 1 plus 1 half end exponent close parentheses to the power of 1 half end exponent close parentheses to the power of 1 half end exponent equals x to the power of 1 half end exponent open parentheses x to the power of 3 over 2 end exponent close parentheses to the power of 1 fourth end exponent. open parentheses 1 over x close parentheses to the power of 1 half end exponent open parentheses open parentheses 1 over x close parentheses to the power of 3 over 2 end exponent close parentheses to the power of 1 fourth end exponent equals x to the power of 1 half end exponent x to the power of 3 over 8 end exponent. open parentheses 1 over x close parentheses to the power of 1 half end exponent open parentheses 1 over x close parentheses to the power of 3 over 8 end exponent equals x to the power of 1 half end exponent x to the power of 3 over 8 end exponent. x to the power of negative 1 half end exponent x to the power of negative 3 over 8 end exponent equals 1

Jadi,

integral open parentheses square root of x square root of x square root of x end root end root square root of 1 over x square root of 1 over x square root of 1 over x end root end root end root close parentheses d x equals integral d x equals x plus C equals x.1 plus C equals x square root of x square root of x square root of x end root end root square root of 1 over x square root of 1 over x square root of 1 over x end root end root end root plus C

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