Diketahui F'(x) = 3x kuadrat - 4x + 2 dan F(-1) = -2, maka F(x) =...

Bab Integral
Matematika SMA Kelas XI

f'(x) = 3x² - 4x + 2
f(x) = integral (3x² - 4x + 2) dx
f (x) = 1/3 . 3x^3 - 1/2 . 4x² + 2x + C
f(x) = x^3 - 2x² + 2x + C
f(-1) = (-1)^3 - 2 (-1)² + 2 . (-1) + C = -2
-1 - 2 - 2 + C = - 2
C = - 2 + 5
C = 3

f(x) = x^3 - 2x² + 2x + 3

Langsung aja y

f'(x) = 3x² - 4x + 2
f(x) = intergal (3x² - 4x + 2) dx
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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