Matematika

Pertanyaan

tolong dongg ini soal sin sin an gua gangerti
tolong dongg ini soal sin sin an gua gangerti

1 Jawaban

  • Misal
    u = √x
    u = x^1/2
    du/dx = (1/2) x^-1/2
    du/dx = 1/(2x^1/2)
    du/dx = 1/(2√x)
    dx = 2√x du

    ∫ (sin √x)/√x dx
    = ∫ (sin u)/√x . 2√x du
    = ∫ 2 sin u du
    = -2 cos u + C
    = -2 cos √x + C