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Line 51:
\partial_\mu\frac{\partial\mathcal{L}}{\partial(\partial_\mu\phi)})\delta\phi+
\int_{\partial N}ds_\mu\frac{\partial\mathcal{L}}{\partial(\partial_\mu\phi)}=
\int_{\partial_N}ds_\mu\frac{\partial\mathcal{L}}{\partial(\partial_\mu\phi)}.
</math>
Since this is true for any N, we have
:<math>
\partial_\mu(\frac{\partial\mathcal{L}}{\partial(\partial_\mu\phi)}-f^\mu)=0.
</math>
You might immediately recognize this as the [[continuity equation]] for the current
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