F'(x)= 3x²+6x-5 dan f(-1)=8, rumus fungsi f(x) =...
Matematika
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Pertanyaan
F'(x)= 3x²+6x-5 dan f(-1)=8, rumus fungsi f(x) =...
1 Jawaban
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1. Jawaban dnnyz07
Integral
Cari f(x) dlu dgn integral
int 3x² + 6x - 5 dx
= 3/(2+1) x³ + 6/(1+1) x² - 5x + C
= x³ + 3x² - 5x + C
f(-1) = (-1)³ + 3 . (-1)² - 5(-1) + C
8 = -1 + 3 + 5 + C
8 = 7 + C
C = 1
f(x) = x³ + 3x² - 5x + 1