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Riemman Sum Homework

  • Thread starter MillerL7
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  • #1
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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 = ?
 

Answers and Replies

  • #2
daniel_i_l
Gold Member
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Do you know how the definite integral is defined using Riemann sums?
 
  • #3
HallsofIvy
Science Advisor
Homework Helper
41,777
911
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]"?
 

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