Jika F'(x) = 2x3 - 5 dan F(2) = 8,lalu F(x) ?

Bab Integral
Matematika SMA Kelas XI

f'(x) = 2x³ - 5

∫ (2x³ - 5) dx = (2/(3 + 1)) x³⁺¹ - 5x
                     = (2/4) . x⁴ - 5x
                     = (1/2) x⁴ - 5x + C

f(x) = (1/2) x⁴ - 5x + C
f(2) = (1/2) . 2⁴ - 5 . 2 + C = 8
         (1/2) . 16 - 10 + C = 8
          8 - 10 + C = 8
          C = 8 + 2
          C = 10

f(x) = (1/2) . x⁴ - 5x + 10