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Hasil dari ∫ 6 x − x 3 ​ x 2 − 2 ​ d x = ....

Hasil dari  = ....

  1. begin mathsize 14px style negative 3 over 2 square root of 6 x minus x cubed end root plus C end style

  2. begin mathsize 14px style negative 2 over 3 square root of 6 x minus x cubed end root plus C end style

  3. begin mathsize 14px style negative 1 over 6 square root of 6 x minus x cubed end root plus C end style

  4. begin mathsize 14px style 1 over 6 square root of 6 x minus x cubed end root plus C end style

  5. begin mathsize 14px style 2 over 3 square root of 6 x minus x cubed end root plus C end style

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S. Intan

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

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begin mathsize 14px style Misal colon space straight u equals 6 straight x minus straight x cubed  d u equals 6 minus 3 straight x squared space dx  du equals negative 3 open parentheses straight x squared minus 2 close parentheses dx  minus 1 third du equals open parentheses straight x squared minus 2 close parentheses dx    integral space fraction numerator straight x squared minus 2 over denominator square root of 6 straight x minus straight x cubed end root end fraction dx  equals integral fraction numerator 1 over denominator square root of straight u end fraction straight space. straight space open parentheses negative 1 third close parentheses du  equals negative 1 third integral straight u to the power of negative 1 half end exponent du  equals negative 1 third straight space. straight space 2 straight u to the power of 1 half end exponent plus straight C  equals negative 2 over 3 square root of straight u plus straight C  equals negative 2 over 3 square root of 6 straight x minus straight x cubed end root plus straight C end style

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