Question

Resolvendo a integral ∫(x² -4x +1)dx, obtemos a função:
a) F(x) = 2x -4 +c
b) F(x) = x³ -4x² +x +c
c) F(x) = x³/3 -4x² +x +c
d) F(x) = x³/3 -2x² +x +c

Answer 1

$\int\limits {(x^2-4x+1)} \, dx \\ \\ \\ \int\limits x^2 dx -4\int\limits x dx +1\int\limits dx$

$\int\limits {(x^2-4x+1)} \, dx = \boxed{\boxed{ \frac{x^3}{3} - 2x^2 + x +C}}$

LETRA D