Question

∫¹₀ x³ - x² + x dx qual a integral definida

Answer 1

Resposta:

Explicação passo-a-passo:

$f(x)=\frac{x^{4}}{4}-\frac{x^{3}}{3}+\frac{x^{2}}{2}\\f(1)-f(0)=[\frac{1^{4}}{4}-\frac{1^{3}}{3}+\frac{1^{2}}{2}]-[\frac{0^{4}}{4}-\frac{0^{3}}{3}+\frac{0^{2}}{2}]=\\\frac{1}{4}-\frac{1}{3}+\frac{1}{2}=\frac{3-4+6}{12}=\frac{5}{12}$