Leibniz integral rule

Posted on: Tue Feb 20 2024 05:30:00 GMT+0530 (India Standard Time)

Resources

1. Video Lecture

Leibniz integral rule gives a formula for differentiation of a definite integral whose limits are functions of the differential variable.

$$ \frac{d}{d t} \int_{V(t)} f(\vec{x}, t) d V=\int_{V(t)} \frac{\partial f}{\partial t} d V+\int_{A(t)} f \vec{u}_{A} \cdot \hat{n} dA $$

References

• Source 1