diketahui fungsi F'(x) = 3x² + 4x -10 dan F(-2) = 5 . persamaan F(x) adalah ...

Bab Integral

Integralkan dulu f'(x)
f(x) = [tex] \int {f'(x)} \, dx [/tex]
f(x) = [tex] \int {3x^2 + 4x - 10} \, dx [/tex]
f(x) = [tex] { \frac{3}{2+ 1 } x^{2+1} + \frac{4}{1+1}x^{1+1} - \frac{1}{0+1 }10x^{0+1} } [/tex]
f(x) = [tex] { x^{3} + 2x^{2} - 10x } + C[/tex]

Cari nilai C
f(-2) = (-2)³ + 2(-2)² - 10(-2) + C
5 = -8 + 8 + 20 + C
C = 5 - 20
C = -15

f(x) = x³ + 2x² - 10x - 15