Matematika

Pertanyaan

ka bantu dong
integral x^2 (x - 4) / √x dx
tolong ya ka

1 Jawaban

  • dijabarin dulu, akar itu pangkat ½
    (x²(x - 4)/√x) dx
    = {(x³ - 4x²)/x^½} dx
    = {x^(3-½) - 4x^(2-½)} dx
    = {x^(5/2) - 4x^(3/2)} dx
    integral kan
    = (1/(1+5/2))x^(1+5/2) - (4/(1+3/2))x^(1+3/2) + C
    = (1/(7/2))x^(7/2) - (4/(5/2))x^(5/2) + C
    = (2/7)x³√x - (8/5)x²√x + C

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