Matematika

Pertanyaan

tolong dijawab please!!!!!!!
tolong dijawab please!!!!!!!

1 Jawaban

  • integral tak tentu
    ∫ a xⁿ dx  =  a/(n+1)  xⁿ⁺¹

    a. ∫ 4x³ dx = 4/4 x⁴ + c = x⁴ + c

    b. ∫ 4x⁴ - 4x³ + 3x² - 6x dx =  4/5 x⁵ - 4/4 x⁴ + 3/3 x³ - 6/2 x² + c
    = 4/5 x⁵ - x⁴ + x³ - 3x² + c

    c.  ∫ 6x⁸ dx =  6/9 x⁹ + c = 2/3  x⁹ + c

    d. ∫ (2x -3)²  dx = ∫ 4x² - 12x + 9 dx
    = 4/3 x³ - 12/2 x² + 9x + c
    = 4/3 x³ - 6x² + 9x + c

    e. ∫ x² ( x + 6) dx  = ∫ x³ + 6x²  dx
    = 1/3 x³ + 6/3 x² + c
    = 1/3 x³ +  2x² + c

    f. ∫ 1/x³ dx = ∫ x⁻³ dx =  1/(-2) x⁻² + c
    =  - 1/2 x⁻² + c
    = -1/(2x²) + c
    .