“Leibniz’s integral rule”的概念、定义、翻译、参考文献-科学参考

单词	Leibniz’s integral rule
释义	Leibniz’s integral rule Mathematics The following rule for differentiating integrals: $\frac{d}{d t} \int_{a (t)}^{b (t)} f (x, t) d x = f (b (t), t) b' (t) - f (a (t), t) a' (t) + \int_{a (t)}^{b (t)} \frac{\partial f}{\partial t} (x, t) d x .$ If a(t) and b(t) are constant, then this amounts to differentiation under the integral sign. Compare Reynold’s transport theorem.
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