Matematika

Pertanyaan

Tolong carikan no 30 31 lah ya plisss beserta jalan ya!!
Tolong carikan no 30 31 lah ya plisss beserta jalan ya!!

1 Jawaban

  • 31. misal u = 1 - 5x
    du = -5 dx
    dx = du/-5
    u = 1 - 5x
    5x = 1 - u
    x = (1 - u)/5

    18x (1 - 5x)^7 dx
    18(1 - u)/5 u^7 du/-5
    -(18/25) (1 - u) u^7 du
    (-18/25) u^7 - u^8 du
    integralkan
    (-18/25) (1/7+1)u^(7+1) - (1/8+1)u^(8+1) + C
    (-18/25) (1/8)u^8 - (1/9)u^9 + C
    (-18/25)(1/72)u^8(9 - 8u) + C
    (-1/100) u^8 (9 - 8u) + C
    (-1/100) (1 - 5x)^8 (9 - 8(1 - 5x)) + C
    (-1/100) (1-5x)^8 (9-8+40x) + C
    (-1/100) (1-5x)^8 (1+40x) + C
    pilihan A
    satu ajah bisanya