$$\displaystyle\int_{ -1 }^{ 1 } 1 d x - \displaystyle\int_{ -1 }^{ 1 } \cos 2mx d x$$
$\left\{\begin{matrix}-\frac{\sin(2m)}{m}+2,&m\neq 0\\0,&m=0\end{matrix}\right.$
$\left\{\begin{matrix}\frac{-2m\cos(2m)+\sin(2m)}{m^{2}},&m\neq 0\\0,&m=0\end{matrix}\right.$
