Matematika

Pertanyaan

Integral x akar dari 2x-4 dx =

1 Jawaban

  • misal u = 2x - 4
    du = 2 dx
    1/2 du = dx

    integral 1/2 × U^1/2 du
    = 1/2 × 1/(1/2+1) U^(1/2 +1) + C
    = 1/2 × 1/(3/2) U^(3/2) + C
    = 1/2 × 2/3 U^(3/2) + c
    =1/3 U^(3/2) +C
    = 1/3 U akarU + C
    = 1/3 (2x-4) akar(2x-4) +C

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