Matematika

Pertanyaan

∫x√x²-5 dx =
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1 Jawaban

  • Misal :
    u = x² - 5
    du/dx = 2x
    x dx = 1/2 du

    ∫x √(x² - 5) dx
    = ∫u^1/2 . 1/2 du
    = 1/2 ∫u^1/2 du
    = 1/2 . 1/(1/2 + 1) . u^(1/2 + 1) + C
    = 1/2 . 2/3 . u^3/2 + C
    = 1/3 . (x² - 5)√(x² - 5) + C

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