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