My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum

LinkBack Thread Tools Display Modes
January 25th, 2009, 07:01 AM   #1
Joined: Nov 2008

Posts: 12
Thanks: 0

Riemann Sum help please

I'm stuck on this Riemann sum and I have no idea what I'm doing wrong:
y= 3x^2 + 2 on [1,2]

Ive gotten Delta X = 1/n
xi = 1 + 1/n

the equation i used was - 3[(1+(1/n)i)^2 + 2] [1/n]
i simplified that down into this by distributing- [3 + 3/n^2 i^2 +2] [1/n]
that turns into - (3/n) + (3/n^3)i^2 + (2/n)
that then becomes (3/n) and (2/n) can be taken out of the equation to become 5... and I replace i^2 with (n(n+1)(2n+1))/6 and i multiply it with 3/n^3
I take the limit of that as it approaches infinity and i get 1.
3+2+1 is 6, but the when I take the anti derivative of this it is 9?!?!?!?
I need to know where I went wrong!!! and would someone write this out for me step by step from the beginning if you have the time?
pranavpuck is offline  
January 25th, 2009, 12:54 PM   #2
Global Moderator
Joined: May 2007

Posts: 6,709
Thanks: 675

Re: Riemann Sum help please

(1+i/n)^2 = 1 + 2i/n + (i/n)^2

In you calculation you left out the middle term.
mathman is offline  
January 31st, 2009, 02:47 PM   #3
Joined: Dec 2008
From: Washington state, of the United States

Posts: 37
Thanks: 0

Re: Riemann Sum help please

Definite Integral is defined with the infinite Riemann Sum:

Your problem is this:

f(x) = 3x^2 + 2; a=1; b=2

That there is your problem...


Now you need to know how to interpret summations... rewrite them in a simplified algebraic form...

Evaluate the limit...

CogitoErgoCogitoSum is offline  

  My Math Forum > College Math Forum > Calculus

riemann, sum

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
Riemann sum R(f,P,C) alphabeta89 Real Analysis 2 February 11th, 2012 03:44 AM
Riemann Sum Pixel Calculus 2 July 15th, 2010 08:01 AM
Riemann map selenne431 Complex Analysis 0 March 24th, 2010 12:23 PM
Riemann Sum chrisf Calculus 9 January 31st, 2009 02:19 PM
Riemann vs. Riemann-Stieltjes integral cheloniophile Real Analysis 1 November 23rd, 2008 05:30 PM

Copyright © 2019 My Math Forum. All rights reserved.