Question

a primitiva da função f(x)=8x³+3x²+e elevado a x

Answer 1

Devemos integrar .... 

Para integrar teremos ==== x^y = x^(y+1)/y+1 

Assim : 

$f(x)=8x^{3}+3x^{2}+e^{x}\\\\ \int\limits8x^{3}+3x^{2}+e^{x}\\\\ \int\limits \frac{8x^{3+1}}{3+1} + \frac{3x^{2+1}}{2+1} +e^{x}\\\\ \int\limits \frac{8x^{4}}{4} + \frac{3x^{3}}{3} +e^{x}\\\\ \int\limits2x^{4}+x^{3}+e^{x}\\\\ent\~ao...\\\\ \int\limits 8x^{3}+3x^{2}+e^{x}=\boxed{\boxed{2x^{4}+x^{3}+e^{x}}}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ok$