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OEF integrales with parameters
OEF integrales with parameters
--- Introduction ---
This module actually contains 2 exercises on derivation and integrals with parameters.
Derivatives of integrals I
Let
be a real continuous function. Calculate the derivative of the real function
defined by
Derivatives of integrals II
Let
be a real continuous function.with continuous derivative. Let
be the real function defined by
In the derivative of
, is there some term like
f' (expression in ) ?
f(expression in and ) d ?
(expression in and )f'(expression in and ) d ?
f( expression en ) ?
(Remark : an expression in
and
may not depend on
or
, but must be non zero ! )
So
+
f(
)
(
)
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Description: collection of exercices on integrals depending on a parameter. mathémathiques interactives, jeux, exercices
Keywords: interactive mathematics, interactive math, server side interactivity, analysis, parameter integral derivation derivative
f(expression in and ) d ?