Matematika

Pertanyaan

kak tolong dong kak integral
kak tolong dong kak integral

1 Jawaban

  • jawab

    ₀¹∫ x√(x² +9) dx

    u = x²  +9
    du = 2x dx
    x dx = 1/2 du

    batas integral
    u  = x² + 9
    x =0 , u = 9
    x = 1 , u = 10

    ₉¹⁰∫ 1/2 u^(1/2) du =
    = [1/2 (2/3) U^(3/2) ]¹⁰₉
    = 1/3 [u √u ]¹⁰₉
    = 1/3 (10√10 - 9√9)
    = 1/3 (10√10 - 27)