\hspace{-16}(1)\;\; \bf{\int_{-\pi}^{\pi}\left(\sum_{k=1}^{2013}\sin (kx)\right)^2dx}$\\\\\\ $(2)\;\; \bf{\int_{-\pi}^{\pi}\left(\sum_{k=1}^{2013}\cos (kx)\right)^2dx}$\\\\\\
-
UP 0 DOWN 0 0 0
\hspace{-16}(1)\;\; \bf{\int_{-\pi}^{\pi}\left(\sum_{k=1}^{2013}\sin (kx)\right)^2dx}$\\\\\\ $(2)\;\; \bf{\int_{-\pi}^{\pi}\left(\sum_{k=1}^{2013}\cos (kx)\right)^2dx}$\\\\\\