Matematika

Pertanyaan

Hasil integral dari x-1 / x√x adalah...

note : / = per (x-1 per x akar x)

1 Jawaban

  • ∫(x - 1)/x√xdx
    = ∫(x/x^3/2 - 1/x^3/2) dx
    = ∫(x^-1/2 - x^-3/2) dx
    = 1/(-1/2 + 1) x^(-1/2 + 1) - 1/(-3/2 + 1) x^(-3/2 + 1) + C
    = -2√x + 2/x + C

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