diberikan F'(x) = 1 - 2x dan F(3) = 4 maka F(x) =

Integral

f'(x) = 1 - 2x
f(3) = 4
f(x) ?

Integralkan dlu turunannya

int 1 - 2x dx
= 1/(0+1) x^1 - 2/(1+1) x² + C
= - x² + x + C

f(x) = - x² + x + C
f(3) = -(3²) + 3 + C
4 = -9 + 3 + C
-6 + C = 4
C = 10

f(x) = -x² + x + 10