Remark

Tag 0895, permanent. Cite it as [Bourbaki, Tag 0895].

Functions of a Real Variable, chapter II, § 3. DERIVATIVES AND INTEGRALS OF FUNCTIONS DEPENDING ON A PARAMETER

The hypotheses imposed in this corollary are sufficient, but not necessary, for the validity of formula (9); we shall generalize this formula later, at the same time as the concept of integral (see INT, IV), and obtain much less restrictive conditions.

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

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Cites

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