From calculus, one obtains the following formula (Leibnitz rule) for the time derivative of an integral that contains time in both the integrand and the limits of integration:

Discuss how this formula is related to the time derivative of the total amount of a property in a system and to the Reynolds transport theorem.

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af dx₂ de F(x. 1) dx = [*2/4 dx + f (x0, 1) de f(x, dt di t) -f(x₂.1) dxj di af dx₂ de F(x. 1) dx = [*2/4 dx + f (x0, 1) de f(x, dt di t) -f(x₂.1) dxj di