Question

Evaluate the following integral:
${\int }_0^{\pi }1+\frac{x}{2}dx$

Answer 1

Consider, $I={\int }_0^{\pi }1+\frac{x}{2}dx$

$=x+\frac{x^3}{6}{|}_0^{\pi }$

$=\pi +\frac{{\pi }^3}{6}$