Tentukan fungsi y=f(x), apabila diketahui F'(x)=6x²-6x+7 dan F(1)=2

f'(x) = 6x² - 6x + 7
f(1) = 2

f(x) = ∫f'(x) dx
f(x) = ∫(6x² - 6x + 7) dx
f(x) = 2x³ - 3x² + 7x + c

f(1) = 2
2.1³ - 3.1² + 7.1 + c = 2
c = -4

Fungsi y = f(x) :
f(x) = 2x³ - 3x² + 7x - 4