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Reading the ming of a prof question

  1. Mar 10, 2009 #1
    i was told that i would be asked a question that deals with
    integrability and the link between the differentiability operation
    and the integration operation(the basic laws of newton calculus)

    what question he can give that combines this things??
    can you give an example??

    i cant find a question like this
     
  2. jcsd
  3. Mar 10, 2009 #2

    Mark44

    Staff: Mentor

    Re: reading the mind of a prof question..

    Sounds like he might be thinking of the Fundamental Theorem of Calculus, which says in part for a suitable function f, that
    [tex]\frac{d}{dx}\int_a^x f(t) dt = f(x)[/tex]

    Do a search on "fundamental theorem of calculus" and you should get some ideas.

    [tex]\frac{d}{dx}\int_a^{x^2} f(t) dt = ?[/tex]
    Here's one fairly simple problem

    Regarding "newton calculus" both Isaac Newton and Gottfried Leibniz are credited about equally with the development of calculus.
     
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