Matematika

Pertanyaan

Jika F¹(x)=8x +2, dan F(5)=36, maka F(x)=...

1 Jawaban

  • Bab Integral
    Matematika SMA Kelas XI

    f'(x) = 8x + 2
    f(x) =

    ∫ (8x + 2) dx
    = (8/(1 + 1)) . x¹⁺¹ + 2x
    = 4x² + 2x + C

    f(5) = 4 . 5² + 2 . 5 + C = 36
    100 + 10 + C = 36
    C = 36 - 110
    C = -74

    f(x) = 4x² + 2x - 74

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