Matematika

Pertanyaan

integral part 1&2, jelaskan dgn caranya
integral part 1&2, jelaskan dgn caranya

1 Jawaban

  • Integral Substitusi
    34. ∫ x  √(x² -5) dx
    u = x² - 5
    du = 2x dx
    x dx = 1/2 du
    ∫ x√(x² -5) dx = ∫ 1/2 √u  du= 1/2 ∫ u^(1/2) du
    = 1/2 (2/3) (U)^(3/2) + c
    = 1/3 u√u + c
    = 1/3 (x² - 5) √(x² -5) +C
    .

    35. ∫sin³ x . cos  x dx =
    misl u =  sin x
    du = cos x dx

    ∫ sin³ x  cos x dx = ∫ (sin x)³ (cos x dx) = ∫ u³ du = 1/4 u⁴ + c
    = 1/4 ( sin x)⁴ + c
    = 1/4 sin⁴ x + c.
    Gambar lampiran jawaban DB45