Question

Integrando o polinômio P(x)=ax²+bx+c, vamos ter:
a) 2ax+b
b) 2ab+c
c) x³/3 + b/2 x² + cx
d) ax³/3 + b/2 x² + cx
e) ax³/3 +1/2 x² + cx

Answer 1

$\int\limits{(ax^{2}+bx+c)} \, dx \\ \\ \int\limits{ax^2} \, dx+ \int\limits{bx} \, dx+ \int\limits{c} \, dx\\ \\a \int\limits{x^2} \, dx+b \int\limits{x} \, dx+c \int\limits{} \, dx \\ \\a \frac{x^3}{3} + b \frac{x^2}{2} + cx + D \\ \\ D = cte$

Ik_Lob