Matematika

Pertanyaan

tolong kerjaka pakai cara yach!!
makasih
tolong kerjaka  pakai cara yach!! makasih

1 Jawaban

  • 4) (2 / x√x) dx
    = (2 / x^3/2) dx
    = (2x^-3/2) dx
    baru integral kan
    = (2/(-3/2+1))x^(-3/2+1)
    = (2/-½)x^-½
    = -4x^-½
    = -4/√x
    baru masukan interval 4 dan 1
    = (-4/√4) - (-4/√1)
    = (-4/2) - (-4/1)
    = -2 - (-4)
    = -2 + 4
    = 2

    5) 12x(x²+1)² dx
    = 12x(u)² du/2x
    = (12x/2x)u² du
    = 6u² du
    integral kan
    = 2u³
    = 2(x² + 1)³
    masukan interval 1 dan 0
    = {2(1² + 1)³} - {2(0² + 1)³}
    = {2(2)³} - {2(1)³}
    = {2(8)} - {2(1)}
    = 16 - 2
    = 14