Question

a integral da função( x³+x²+1)dx qual a função

Answer 1

Oi :)

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

Espero que goste :)