Matematika

Pertanyaan

Tuliskan hasil dari integral(x-3)²dx

2 Jawaban

  • dijabarin dulu
    integral (x - 3)(x - 3) dx
    (x² - 6x + 9) dx
    = (1 / 2+1)x^(2+1) - (6 / 1+1)x^(1+1) + 9x + C
    = ⅓x³ - 3x² + 9x + C
  • integral (x-3)^2 dx =
    misal :
    u=x-3
    du= 1 dx
    dx = du
    maka :
    integral (x-3)^2 dx = integral (u^2) du
    = 1/3 u^3 + C
    = 1/3 (x-3)^3+ C

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