Matematika

Pertanyaan

Dengan. Menggunakan integral subsitusi , tentuka setiap integral berikut
a. Integral (2x - 1)5 dx
b. Integr (x + 2)-10 dx

1 Jawaban

  • A) integral (2x - 1)^5 dx
    misal u = 2x - 1
    du/dx = 2
    dx = du/2
    integral u^5 du/2
    = 1/2 u^6/6 + C
    = 1/12 u^6 + C
    = (2x - 1)^6 / 12 + c
    B) integral (x +2)^-10 dx
    misal u = x + 2
    du/dx = 1
    dx = du
    integral u^-10 du
    = u^-9 /-9 + c
    = -1/9 u^-9 + C
    = -1/9 (x+2)^-9 + c

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