Question

Calcule a integral indefinida.
F x^2 + x^3 dx

Answer 1

Usaremos a tabelada : 

∫ x^u = x^(u+1)/u+1 

Resolvendo : 

$\int\limits\ \ x^{2}\ +\ x^{3}\\\\\\= \frac{x^{2+1}}{2+1} \ +\ \frac{x^{3+1}}{3+1} \\\\\\= \boxed{\boxed{\frac{x^{3}}{3} \ +\ \frac{x^{4}}{4} \ +\ C}}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ok$

Answer 2

Olá, boa tarde ☺

Resolução:

$\int (x^2 + x^3) \ dx \\ \\ \\ \dfrac{x^{2+1}}{2+1} + \dfrac{x^{3+1}}{3+1} +c\\ \\ \\ \boxed{=\dfrac{x^{3}}{3} + \dfrac{x^{4}}{4}+c}$

Bons estudos :)