tentukan f(x) jika diketahui df/dx=6x^2-2x dan f(1)=4

Penyelesaian:

df/dx = 6x² - 2x
df = 6x² - 2x dx
f(x) = ∫6x² - 2x dx
f(x) = 2x³ - x² + c

f(1) = 2(1)³ - (1)² + c = 4
2 - 1 + c = 4
c = 3

f(x) = 2x³ - x² + 3