Matematika

Pertanyaan

jawab.. integral subtitusi
jawab.. integral subtitusi

2 Jawaban

  • u=3x
    du/dx=3

    integral 3 sin 3x dx
    = integral 3 sin u du/3
    = integral sin u du
    = -cos u + c
    = -cos 3x +c
  • Integral  dengan substitusi

    ∫ 3 sin 3x dx =

    u = 3x
    du =  3 dx --> dx = 1/3 du

    ∫ 3 sin 3x dx = 
    = ∫ (sin 3x) (3 dx) 
    = ∫ sin u (1/3) du
    = 1/3 ∫ sin u du
    = 1/3 (-cos u) + c
    =  - 1/3  cos 3x + c