Matematika

Pertanyaan

Please jawab. Pake jalan ya bingung :((
Please jawab. Pake jalan ya bingung :((

1 Jawaban

  • Int (3x √(3x^2 + 1)) dx
    Misal
    u = 3x^2 + 1
    du = 6x dx => dx = du/(6x)
    Int (3x √u) du/(6x)
    = Int 1/2 u^(1/2) du
    = (1/2)/(3/2) u^(3/2) | batas 0 sampai 1
    = 1/3 u √u | batas 0 sampai 1
    = 1/3 (3x^2 + 1) √(3x^2 + 1) | batas 0 sampai 1
    = 1/3 (3(1)^2 + 1) √(3(1)^2 + 1) - 1/3 (3(0)^2 + 1) √(3(0)^2 + 1)
    = 1/3 (4) √4 - 1/3 (1) √1
    = 8/3 - 1/3
    = 7/3