%0 Journal Article %1 1973 %A Flanders, Harley %D 1973 %I Mathematical Association of America %J The American Mathematical Monthly %K integral mathematics %N 6 %P 615-627 %R 10.2307/2319163 %T Differentiation Under the Integral Sign %U http://www.jstor.org/stable/2319163 %V 80 %X The Leibniz rule for differentiation of a definite integral is discussed. Alternative methods of proof are given. The result is generalised to an arbitrary number of dimensions with special cases of a surface and volume integral given as examples.

@article{1973, abstract = {The Leibniz rule for differentiation of a definite integral is discussed. Alternative methods of proof are given. The result is generalised to an arbitrary number of dimensions with special cases of a surface and volume integral given as examples.}, added-at = {2013-05-18T21:37:11.000+0200}, author = {Flanders, Harley}, biburl = {https://www.bibsonomy.org/bibtex/2d3cf184dcbdaffe8cd6c3f598612c09e/drmatusek}, copyright = {Copyright © 1973 Mathematical Association of America}, doi = {10.2307/2319163}, interhash = {c78b0c4001c262b7b79d5c4ef177b5b2}, intrahash = {d3cf184dcbdaffe8cd6c3f598612c09e}, issn = {00029890}, journal = {The American Mathematical Monthly}, jstor_articletype = {research-article}, jstor_formatteddate = {Jun. - Jul., 1973}, keywords = {integral mathematics}, language = {English}, month = {jun--jul}, number = 6, pages = {615-627}, publisher = {Mathematical Association of America}, timestamp = {2013-05-18T21:37:11.000+0200}, title = {Differentiation Under the Integral Sign}, url = {http://www.jstor.org/stable/2319163}, volume = 80, year = 1973 }