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Tentukan F(x) jika: F’(x) = 2x – 9 dan F(-3) = 24

Tentukan F(x) jika:

F’(x) = 2x – 9 dan F(-3) = 24

Jawab:

F’(x) = 2x – 9 dan F(-3) = 24

   F(x) = ∫ (2x – 9) dx = x2 – 9x + C

   F(-3) = (-3)2 – 9(-3) + C

   24 = 9 + 27 + C

   C = 24 – 31 = -7

Jadi didapatkan fungs F(x) = x2 – 9x – 7

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