Tentukan fungsi f jika di ketahui : F'(x)=1-2x dan F(3)=4

Bab Integral
Matematika SMA Kelas XI

f'(x) = 1 - 2x
f(x) = x - (2/2) x²
f(x) = x - x² + C

f(3) = 3 - 3² + C = 4
3 - 9 + C = 4
C = 4 + 6
C = 10

f(x) = x - x² + 10
f(x) = -x² + x + 10