Matematika

Pertanyaan

Berapa integral dari (x-1)^2 dx

2 Jawaban

  • integral (x-1)²
    = integral (x-1) (x-1)
    = integral (x² - 2x + 1)
    = integral 1/2+1 x²⁺¹ - 2/1+1 x¹⁺¹ + x
    = 1/3 x³ - x² + x + c
  • Ada 2 bentuk jawaban tergantung di option nya
    1) pakai integral biasa
    = Int (x - 1)^2 dx
    = Int (x - 1)(x - 1) dx
    = Int (x^2 - 2x + 1) dx
    = 1/3 x^3 - 2/2 x^2 + x + C
    = 1/3 x^3 - x^2 + x + C
    2) pakai integral substitusi
    = Int (x - 1)^2 dx
    = 1/3 (x - 1)^3 + C

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