Leibniz's Integral Rule/Also known as
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Leibniz's Integral Rule: Also known as
Leibniz's Integral Rule is also referred to in some sources as Leibniz's Rule, but as this name is also used for a different result, it is necessary to distinguish between the two.
Other popular names for this technique include:
- differentiation under the integral sign
- Feynman's technique after physicist Richard Phillips Feynman.
Some sources refer to Leibnitz's Rule for Differentiation of Integrals or Leibnitz's Rule for Differentiation of an Integral or some such.
Sources
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of Mathematical Functions ... (previous) ... (next): $3$: Elementary Analytic Methods: $3.3$ Rules for Differentiation and Integration: Leibniz's Theorem for Differentiation of an Integral: $3.3.7$
- 1968: Murray R. Spiegel: Mathematical Handbook of Formulas and Tables ... (previous) ... (next): $\S 15$: Leibnitz's Rule for Differentiation of Integrals
- 2009: Murray R. Spiegel, Seymour Lipschutz and John Liu: Mathematical Handbook of Formulas and Tables (3rd ed.) ... (previous) ... (next): $\S 18$: Definite Integrals: Leibnitz's Rules for Differentiation of Integrals