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The Leibniz integral rule gives a formula for differentiation of a definite integral 
whose limits are functions of the differential variable, 

 attachment:l1img2285.gif

It is sometimes known as differentiation under the integral sign. 

This rule can be used to evaluate certain unusual definite integrals such as 

 attachment:l1img2286.gif

for attachment:l1img2287.gif (Woods 1926). 
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Nir Soffer 写道:

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> Please add example markup that fail. Its not clear what is xxx.gif and
> how many time you repeat the same name…
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