Jika f’ =3x+2 dan f(-2)=10, maka f(3) adalah?

Posted on

Jika f’ =3x+2 dan f(-2)=10, maka f(3) adalah?

F'(x) = 3x+2
f(x) = integral dari 3x+2
f(x) = 3/2x² + 2x + c

f(-2) = 3/2.(-2)² + 2.(-2) + c
10 = 6 – 4 + c
c = 8

f(3) = 3/2.3² + 2.3 + 8
f(3) = 27/2 + 14
f(3) = 55/2