Matematika

Pertanyaan

plis bantu jawab...... TERIMAKASIH
plis bantu jawab...... TERIMAKASIH

2 Jawaban

  • Integral Subtitusi
    Kelas XII

    [tex] \int \frac{3x-2}{(3x^2 - 4x+5)^5}dx \\
    \\

    Misal \ u = 3x^2 - 4x + 5 \\
    \frac{du}{dx} = 6x - 4 \\
    \frac{du}{dx} = 2(3x - 2) \\
    \frac12 du = 3x - 2 \ dx [/tex]

    Maka :
    [tex] \int \frac{3x-2}{(3x^2 - 4x+5)^5} dx \\
    = \int \frac{1}{2} \times \frac{1}{t^5} \\
    = \frac12 ( - \frac{1}{4t^4} ) \\
    = - \frac{1}{8t^4} \\
    = - \frac{1}{8(3x^2+4x+5)^4} + C [/tex]

    Jawaban : A
  • Jawaban A Semoga membantu sedikit