Matematika

Pertanyaan

Bantuin nomor 7 yaa makasih
Bantuin nomor 7 yaa makasih

2 Jawaban

  • misal
    u = x³+5
    du/dx = 3x²
    dx = du/3x²

    integral 9x² √(x3+5) dx
    = integral 9x² u^1/2 du/3x²
    = 3 integral u^1/2 du
    = 3 * 1/(1+1/2) u^(1+1/2) +C
    = 3/(3/2) (x³+5)^3/2 +C
    = 2 (x³+5) √(x³+5) +C
    Jawabannya E
  • integral substitusi

    langsung

    =  (9x²/3x²) (2/3)(x³+5)√(x³+5) + c
    = 2(x³+5)√(x³+5) + c