diketahui f'(x) = 3x^2+ 2x-3 jika f (1) = 5 maka f (x) =

Kelas 12 Matematika
Bab Integral

^ = integral

f' (x) = 3x² + 2x - 3

integral (3x² + 2x - 3) dx
= (3/(2 + 1)) x^(2 + 1) + (2/(1 + 1)) x^(1 + 1) - 3x
= (3/3) x^3 + (2/2) x² - 3x
= x^3 + x² - 3x + C

f(x) = x^3 + x² - 3x + C
f(1) = 5
1^3 + 1² - 3 . 1 + C = 5
1 + 1 - 3 + C = 5
C = 5 + 1
C = 6

f(x) = x^3 + x² - 3x + 6