jika f'x=6x²+2 dan f( -1)=4 maka f(x)
Matematika
yuniar2000
Pertanyaan
jika f'x=6x²+2 dan f( -1)=4 maka f(x)
1 Jawaban
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1. Jawaban Anonyme
Kelas 12 Matematika
Bab Integral
^ = pangkat
f' (x) = 6x² + 2
Integral (6x² + 2) dx
= (6/(2 + 1)) x^(2 + 1) + 2x
= 2x^3 + 2x + C
f(x) = 2x^3 + 2x + C
f(-1) = 4
2 . 4^3 + 2 . 3 + C = 4
2 . 64 + 6 + C = 4
128 + 6 + C = 4
C = 4 - 134
C = -130
f(x) = 2x^3 + 2x - 130