\documentclass[12 pt]{article}
\begin{document}
\begin{equation}
\int^{2\pi}_0\sin^2\theta d\theta = \frac{1}{2}
\end{equation}
\begin{equation}
\left[
{\bf X} + {\rm a} \ \geq\
\underline{\hat a} \sum_i^N \lim_{x \rightarrow k} \delta C
\right]
\end{equation}
\end{document}
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