Translations
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Dictionary:Calculus of variations/20/en
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∂
L
∂
x
˙
δ
x
(
t
)
|
A
B
−
∫
A
B
d
d
t
[
∂
L
∂
x
˙
]
δ
x
(
t
)
d
t
{\displaystyle {\frac {\partial L}{\partial {\dot {x}}}}\delta x(t){\bigg |}_{A}^{B}-\int _{A}^{B}{\frac {d}{dt}}\left[{\frac {\partial L}{\partial {\dot {x}}}}\right]\delta x(t)\;dt}
.
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![{\displaystyle {\frac {\partial L}{\partial {\dot {x}}}}\delta x(t){\bigg |}_{A}^{B}-\int _{A}^{B}{\frac {d}{dt}}\left[{\frac {\partial L}{\partial {\dot {x}}}}\right]\delta x(t)\;dt}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/adb88a65a4ddfd5289d8e2ee45f6b646e1e86c56)