Matematika

Pertanyaan

hasil dari integral 2x+3 / √3x²+9x+1 dx =

1 Jawaban

  • Integral Substitusi.

    ∫ (2x + 3) / √(3x² + 9x + 1) dx
    u = 3x² + 9x + 1
    du / dx = 6x + 9
    = ∫ (2x + 3) / √u [du / (6x + 9)]
    = 1/3 ∫ u^(-1/2) du
    = 1/3 [2u^(1/2)] + C
    = 2/3 √(3x² + 9x + 1) + C

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