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Simple Definite Integration

  1. Jan 22, 2009 #1
    I want to find the area under a function [tex]f[/tex] in the interval [tex](a,b)[/tex].

    I've calculated the integral of the function [tex]f[/tex], and its given by:
    [tex]\int f(x) dx=F(x)[/tex]

    Now the problem I have is that [tex]F(a)[/tex] is not defined. In particular, [tex]F(x)=\frac{h(x)}{g(x)}[/tex] and
    as [tex]x \rightarrow a, h(x) \rightarrow 0[/tex]
    and [tex]x \rightarrow a, g(x) \rightarrow 0[/tex]

    How would I approach this problem?
     
  2. jcsd
  3. Jan 22, 2009 #2
  4. Jan 22, 2009 #3
    Yes of course!!
    Thank you kindly NME.
     
  5. Jan 23, 2009 #4
    You can probably use the L'Hospital's rule if everything is good since this is 0/0.
    Look up Bender and Orszag maybe.
     
  6. Jan 26, 2009 #5
    Thanks for the helpful tip prav.
     
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