tentukan f (x) jika diketahui f'(x)=(x+1)(x+2) dan f (-3)=-3/2
Matematika
utyy1
Pertanyaan
tentukan f (x) jika diketahui f'(x)=(x+1)(x+2) dan f (-3)=-3/2
1 Jawaban
-
1. Jawaban Anonyme
Bab Integral
Matematika SMA Kelas XI
f'(x) = (x + 1) (x + 2)
f'(x) = x² + 3x + 2
∫ (x² + 3x + 2) dx = (1/3) x³ + (3/2) x² + 2x + C
f(-3) = -3/2
(1/3) . (-3)³ + (3/2) (-3)² + 2 . (-3) + C = -3/2
-9 + 27/2 - 6 + C = - 3/2
C = -3/2 + 3/2
C = 0
f(x) = (1/3) x³ + (3/2) x² + 2x