Diketahui F'(x) = 3x kaudrat - 4x + 2 dan F(-1) = -2, maka f(x) =
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Pertanyaan
Diketahui F'(x) = 3x kaudrat - 4x + 2 dan F(-1) = -2, maka f(x) =
2 Jawaban
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1. Jawaban whongaliem
f'(x) = 3x² - 4x + 2
F(x) = ∫ 3x² - 4x + 2 dx
= x³ - 2x² + 2x + c
F(- 1) = ( - 1)³ - 2 (-1)² + 2(-1) + c
- 2 = - 1 - 2 - 2 + c
- 2 = - 5 + c
c = 5 - 2
c = 3
jadi, F (x) = x³ - 2x² + 2x + 3 -
2. Jawaban 4LL
Langsung aja y
f'(x) = 3x² - 4x + 2
f(x) = x³ - 2x² + 2x + c
f(-1) = (-1)³ - 2(-1)² + 2(-1) + c
-2 = -1 - 2 - 2 + c
-2 = -5 + c
c = 5 - 2
c = 3
f(x) = x³ - 2x² + 2x + 3
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