Matematika

Pertanyaan

tolong bantu jawab nmr 1 dan 2
tolong bantu jawab nmr 1 dan 2

1 Jawaban

  • Integral Tak tentu

    ∫ (1 - x² - 5x⁴ ) dx  = ax - b/3 x³ + x⁵ + c
    x - 1/3 x³ - x⁵ + c = ax - b/3  x³ + x⁵ + c
    x =ax --> a=  1
    -1/3 = - b/3 ---> b = 1
    a - b = 1 - 1
    a - b = 0

    2. ∫ (5x⁴ +6x² -1) / (3) dx = ax⁵ - bx³ - dx + c
    ∫ 5/3 x⁴ - + 2x² - 1/3  dx =
    5/3 (1/5) x⁵ + 2/3 x³ - 1/3 x + c = ax⁵ - bx³ - dx + c
    1/3 x⁵ + 2/3 x³ - 1/3 x + c = ax⁵ - bx³ - dx + c
    a = 1/3
    -b =  2/3 --> b = - 2/3
    -d = - 1/3 --> d = 1/3

    nilai a + b + d = 1/3 -  2/3 + 1/3
    a + b + d =  0