Matematika

Pertanyaan

selesaikan integral substitusi integral 4x akar x^2-1 dx

1 Jawaban

  • InTegraL

    Misal :
    u = x² - 1
    du/dx = 2x
    2x dx = du
    4x dx = 2 du

    ∫4x√(x² - 1) dx
    = ∫ u^1/2 . 2 du
    = 2 . 1/(3/2) . u^3/2 + C
    = 4/3 u√u + C
    = 4/3 (x² - 1)√(x² - 1) + C

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