Question

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

Answer 1

`∫       ( x^2 + e^log x+ (e/2 )^x ) dx`

`= ∫  x^2dx + ∫   xdx + ∫ (e/2)^x dx `

\[ = \frac{x^3}{3} + \frac{x^2}{2} + \frac{\left( \frac{e}{2} \right)^x}{\ln \left( \frac{e}{2} \right)} + C\]