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June 18th, 2014, 12:04 PM   #1
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Lagrangian and action

A derivative of the action is the lagrangian:
$\displaystyle \frac{\partial S}{\partial t} = L$

and the definite integral of the lagrangian is the action:
$\displaystyle S = \int_{t_0}^{t_1} L dt$

Can you demonstrate me how from 1st equation I can come to 2nd and vice-versa?
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June 20th, 2014, 08:13 PM   #2
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Can't you just integrate both sides?
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action, lagrangian

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