Jika F'(x) = 2x + 1 dan F(1) = 4, maka F(x)=...

F'(x) = 2x + 1

maka
F(x) = x² + x + c
F(1) = 1² + 1 + c
4 = 1+1+c
c = 4-2
c = 2

F(x) = x² + x + c
F(x) = x² + x + 2

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#Semoga bermanfaat ^_^

Mapel : Matematika
Kelas : XI SMA
Bab : Turunan

Pembahasan :
F'(x) = 2x + 1

F(x) = x² + x + C
F(1) = 1² + 1 + C
4 = 2 + C
C = 2

F(x) = x² + x + 2