Matematika

Pertanyaan

Integral subtitusi dari (2×+5) pangkat 9 dx ?

2 Jawaban

  • u = 2x + 5
    du/dx = 2
    dx = du/2

    Integral (u)^9 dx
    Integral (u)^9 du/2
    = 1/2 × 1/10 (u)^10 + c
    = 1/20 (u)^10 + c
    = 1/20 (2x + 5)^10 + c
  • misal :

    t = (2x + 5)

    = int (2x + 5)^9 dx
    = int t^9 dx
    = 1/(9+1) t^(9+1) + c
    = (1/10) t^10 + c
    = (1/10) (2x + 5)^10 + c

    semoga berguna +_+

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