Matematika

Pertanyaan

Jika dF(x) / dx = 3x^2 + 4x - 1 , maka tentukan F(x) jika F(x) = 5 di x = 2
Tolong bantu

1 Jawaban

  • f(x) = integral df/dx
    f(x) = integaral (3x^2+4x -1) dx
    f x) = 3x^(2+1)/(2+1) +4x^(1+1)/(1+1) - x + c
    f (x) = x^3+2x^2-x + c
    f (2) = 5
    2^3 + 2.2^2-2+c = 5
    8 + 8-2+c = 5
    14 + c = 5
    c = 5-14
    c = -9
    maka f(x) = x^3 +2x^2 - x -9

Pertanyaan Lainnya