1. May 4, 2008 #1

   MillerL7

   

   The following sum
   Sqrt(5+5/n) * (5/n) + Sqrt(5 +10/n) * (5/n)....
   
   is a right Riemann sum for the definite integral
   a=3 and b= 8
   
   what does f(x) equal? I got a and b but could not find f(x)
   
   It is also a Riemann sum for the definite integral
   Sqrt(5+5/n) * (5/n) (same as above)
   
   With the same sum, we got a different a and b
   a=5 and b=10
   What is g(x)?
   The limit of these Riemann sums as n approaches infinity = ?

    

   MillerL7, May 4, 2008
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3. May 5, 2008 #2

   daniel_i_l

   

   Gold Member

   Do you know how the definite integral is defined using Riemann sums?

    

   daniel_i_l, May 5, 2008
4. May 5, 2008 #3

   HallsofIvy

   

   Staff Emeritus

   Science Advisor

   A Riemann sum is always of the form [itex]\Sigma f(x^*) \Delta x[/itex]. Which part of your sum is "[itex]\Delta x[/itex]" and which part is "[itex]f(x^*)[/itex]"?

    

   HallsofIvy, May 5, 2008

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