Matematika

Pertanyaan

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2 Jawaban

  • ∫ 6x^2 (3x^3 - 1)^(-3/4) dx

    Misal : u = 3x^3 - 1
    => du = 9x^2 dx
    => dx = du/(9x^2)

    ∫ 6x^2 (3x^3 - 1)^(-3/4) dx
    = ∫ 6x^2 . u^(-3/4) du/(9x^2)
    = ∫ 2/3 u^(-3/4) du
    = (2/3)/(1/4) . u^(1/4) + C
    = 8/3 ^4√u + C
    = 8/3 ^4√(3x^3 - 1) + C
  • Yayayyaayyayayayayaya