Question

\int \:xe^e dx

Answer 1

$\displaystyle\int x e^e \hspace{0.1cm}\mathrm{d}x \\ e^e \hspace{0.1cm} \textsf{is a constant so, bring out}\\ \textsf{the constant and integrate}\hspace{0.1cm}x\\ \displaystyle\int x e^e \hspace{0.1cm}\mathrm{d}x = \frac{e^e x^2}{2} + C \\ \textsf{where}\hspace{0.1cm}C\hspace{0.1cm}\textsf{is an arbitrary constant}$