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Whenever you see a minus sign, look for the definite integral.

The integral from a to b of f(x) dx = F(b) - F(a) where f(x) is the derivative with respect to x of F(x) is the only place I know of in mathematics where the unflappable minus sign can appear out of a seemingly innocuous operation.

Homework problem: What definite integral was performed to obtain the lagrangian L = T - V?

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2021

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