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. . . . . . write up this page based on NRICH https://nrich.maths.org/discus/messages/27/145158.html?1229532904
and http://mathworld.wolfram.com/FrullanisIntegral.html
Wikipedia: Differentiation under the integral sign
Planet Math: PlanetMath: differentiation under the integral sign
Mathworld: Differentiation Under the Integral Sign, http://mathworld.wolfram.com/FrullanisIntegral.html
The webmaster and author of this Math Help site is Graeme McRae.