Leibniz integral rule
Published on: 20 February 2024
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Leibniz integral rule gives a formula for differentiation of a definite integral whose limits are functions of the differential variable.
$$ \frac{d}{d t} \int_{V(t)} f(\vec{x}, t) d V=\int_{V(t)} \frac{\partial f}{\partial t} d V+\int_{A(t)} f \vec{u}_{A} \cdot \hat{n} dA $$