Answer
$\displaystyle\int\limits_{-5}^5edx=10e$
Work Step by Step
$\displaystyle\int\limits_{-5}^5edx$
$e$ is a constant, take it out of the integral:
$e\displaystyle\int\limits_{-5}^5dx=...$
Evaluate the integral and apply the second part of the fundamental theorem of calculus:
$...=ex\Big|_{-5}^{5}=e[5-(-5)]=10e$