Matematika

Pertanyaan

hasil dari integral 3x√3x²+1 dx=…

2 Jawaban

  • InTegraL

    Misal :
    u = 3x² + 1
    du/dx = 6x
    6x dx = du
    3x dx = 1/2 du

    ∫3x √(3x² + 1) dx
    = ∫u^1/2 . 1/2 du
    = 1/2 . 1/(3/2) . u^3/2 + C
    = 1/2 . 2/3 u√u + C
    = 1/3 (3x² + 1)√(3x² + 1) + C
  • Materi : Integral


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