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\[ \newcommand{\dif}{\mathop{}\!\mathrm{d}} \newcommand{\fd}[3][]{\frac{\delta^{#1} #2}{\delta {#3}^{#1}}} \newcommand{\pd}[3][]{\frac{\partial^{#1} #2}{\partial {#3}^{#1}}} \newcommand{\td}[3][]{\frac{\dif^{#1} #2}{\dif {#3}^{#1}}} \newcommand{\integral}[4]{\int_{#1}^{#2} \!\! \dif #3 \, #4} \renewcommand{\vec}[1]{\mathbf{#1}} \]