Matematika

Pertanyaan

tentukan integral dari √(5x+2) dx

1 Jawaban

  • ∫ √(5x + 2) dx
    = ∫ (5x + 2)^(1/2) dx

    Misal :
    u = (5x + 2)
    du = 5 dx
    dx = du/5

    ∫ u^(1/2) du/5
    = ∫ (1/5) u^(1/2) du
    = (1/5)/(3/2) u^(3/2) + C
    = (1/5). (2/3)u√u + C
    = 2/15 (5x + 2) √(5x + 2) + C

Pertanyaan Lainnya