Question

Questão 7: A primitiva da função f (x)  8x3  3x2  ex é:

Answer 1

Para primitivas nesse caso usaremos u^(n+1)/n+1 

Resolvendo ... 

$f(x)\ =\ 8x^{3} \ \beta \ 3x^{2}\ \beta \ e^{x}\\\\\\ \int\limits\ \frac{8x^{3+1}}{3+1} \ \beta \ \frac{3x^{2+1}}{2+1} \ \beta \ e^{x}\\\\\\ \int\limits \frac{8x^{4}}{4} \ \beta \ \frac{3x^{3}}{3} \ \beta \ e^{x}\\\\\\\boxed{\boxed{f(x)'=2x^{4}\ \beta \ x^{3}\ \beta \ e^{x}\ +\ C}}\\\\\\\\obs:(considere\ \beta \ sinal\ de\ +\ ou\ -\ )\\\\ alternativa\ correta\ seria\ a\ terceira\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ok$