Results 1 to 1 of 1

Thread: Apostol proof

  1. #1
    Aug 2011

    Apostol proof

    I'm not sure about this proof of the integral of 2x^2+1 from the vol. 1 of Apostol...
    for the case 2x^2+1, the inequality becomes
    $\displaystyle \frac{2b^3}{3}-\frac{2b^3}{n}+\frac{bn^2}{3}+bn<A<\frac{2b^3}{3}+ \frac{2b^3}{n}+bn+\frac{bn^2}{3}$

    so I'm not sure how to prove this, I can calculate this by the Fundamental Theorem
    for the x^2 case you have 3 possibilities that
    $\displaystyle A>,<=\frac{b^2}{3}$
    but then this changes for the other case
    Last edited by mathnerd15; May 8th 2014 at 02:10 AM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. uniqueness of 0, Apostol
    Posted in the Advanced Algebra Forum
    Replies: 6
    Last Post: Feb 24th 2014, 08:15 PM
  2. Replies: 4
    Last Post: Jul 30th 2013, 06:05 PM
  3. [SOLVED] Apostol Section 10.20 #51
    Posted in the Calculus Forum
    Replies: 2
    Last Post: Oct 11th 2011, 05:50 PM
  4. Proof of Green's theorem in Apostol's book
    Posted in the Differential Geometry Forum
    Replies: 7
    Last Post: Apr 26th 2010, 10:06 PM
  5. apostol and archimedes
    Posted in the Calculus Forum
    Replies: 4
    Last Post: Jun 21st 2009, 09:34 PM

Search Tags

/mathhelpforum @mathhelpforum