Matematika

Pertanyaan

Integral - (x+2) pangkat 2 dx
Integral - (x+2) pangkat 2 dx

1 Jawaban


  • Int -(x + 2)^2 dx
    = -Int (x² + 4x + 4) dx
    = -((1/3)x³ + 2x² + 4x) + C
    = -(1/3)x³ - 2x² - 4x + C


    Int 4/(x ³√x²) dx
    = 4Int (x^(-5/3)) dx
    = (4/(-2/3))x^(-2/3) + C
    = -6/(³√x²) + C


    Int 2x(x + 1)(x - 1)/x^3 dx
    = 2Int (x² - 1)x² dx
    = 2Int (1 - x^-2) dx
    = 2(x + x^-1) + C
    = 2x + (2/x) + C