Question

$\int \left\{x^2+e^{\log x}+{\left(\frac{e}{2}\right)}^x\right\}dx$

Answer 1

$$\begin{gathered} \int \left(x^2+e^{\log x}+{\left(\frac{e}{2}\right)}^x\right)dx \\ =\int x^{2}dx+\int xdx+\int {\left(\frac{e}{2}\right)}^{x}dx \\ =\frac{x^3}{3}+\frac{x^2}{2}+\frac{{\left({\displaystyle \frac{e}{2}}\right)}^x}{\ln \left({\displaystyle \frac{e}{2}}\right)}+C \end{gathered}$$