Matematika

Pertanyaan

tentukan integral tak tentu: integral akar x (x^2-x)dx

1 Jawaban

  • InTegraL

    ∫ax^n dx = a/(n+1) . x^(n+1) + C

    ••
    ∫√x (x² - x) dx
    = ∫(x^5/2 - x^3/2) dx
    = 1/(7/2) . x^7/2 - 1/(5/2) . x^5/2 + C
    = 2/7 x³ √x - 2/5 x² √x + C ✔

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