Pertanyaan

ha s i l d a r i ∫ ​ ( 3 x − 2 ) 3 x 2 4 x ​ d x = ....

  1. 3 left parenthesis 3 x squared minus 4 x right parenthesis square root of 3 x squared minus 4 x end root plus C

  2. 1 third left parenthesis 3 x squared minus 4 x right parenthesis square root of 3 x squared minus 4 x end root plus C

  3. 3 left parenthesis 3 x minus 2 right parenthesis square root of 3 x squared minus 4 x end root plus C

  4. 1 third left parenthesis 3 x minus 2 right parenthesis square root of 3 x squared minus 4 x end root plus C

  5. negative 1 third left parenthesis 3 x squared minus 4 x right parenthesis square root of 3 x squared minus 4 x end root plus C

N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

M i s a l k a n space colon U space equals space 3 x squared space – space 4 x space space space  fraction numerator d U over denominator d x end fraction space equals space 6 x space minus 4 space space space  fraction numerator d U over denominator d x end fraction space equals space 2 space left parenthesis 3 x minus 2 right parenthesis space  fraction numerator d U over denominator 2 end fraction space equals space left parenthesis 3 x space minus 2 right parenthesis space. space d x  integral left parenthesis 3 x minus 2 right parenthesis square root of left parenthesis 3 x squared minus 4 x right parenthesis end root d x equals integral square root of left parenthesis 3 x squared minus 4 x right parenthesis end root left parenthesis 3 x minus 2 right parenthesis d x  equals integral U to the power of 1 half end exponent. fraction numerator d U over denominator 2 end fraction  equals 1 half.2 over 3. U to the power of 3 over 2 end exponent plus C  equals 1 third left parenthesis 3 x squared minus 4 x right parenthesis square root of left parenthesis 3 x squared minus 4 x right parenthesis end root plus C

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