Solved

evaluate integral of ( sqrt (1+4x^2 ))

Posted on 2007-04-09
2
1,197 Views
Last Modified: 2008-02-01
i am working on a problem and i am stuck on the integral of ( sqrt (1+4x^2 ))  which somehow turns out to

(3/4 ) * (2x* sqrt(1+4^2) +ln (sqrt(1+4^2))
any idea where this result come from ?
0
Comment
Question by:c_hockland
[X]
Welcome to Experts Exchange

Add your voice to the tech community where 5M+ people just like you are talking about what matters.

  • Help others & share knowledge
  • Earn cash & points
  • Learn & ask questions
2 Comments
 
LVL 27

Accepted Solution

by:
aburr earned 500 total points
ID: 18876467
Some suggestions.
Factor the 4 out so you get 2*sqr(x^2 + ¼)
Now try substitution
      z = ¼ + x^2  and interagte by parts
Or
z = arsinh ( 4x) so that sqr (x^2 + ¼) = (1/4)*cosh(z)
0
 

Author Comment

by:c_hockland
ID: 18877236
oh, yes, didnt thhink of by parts integration.
ok, thanks aburr...
0

Featured Post

Free Tool: ZipGrep

ZipGrep is a utility that can list and search zip (.war, .ear, .jar, etc) archives for text patterns, without the need to extract the archive's contents.

One of a set of tools we're offering as a way to say thank you for being a part of the community.

Question has a verified solution.

If you are experiencing a similar issue, please ask a related question

Complex Numbers are funny things.  Many people have a basic understanding of them, some a more advanced.  The confusion usually arises when that pesky i (or j for Electrical Engineers) appears and understanding the meaning of a square root of a nega…
When we purchase storage, we typically are advertised storage of 500GB, 1TB, 2TB and so on. However, when you actually install it into your computer, your 500GB HDD will actually show up as 465GB. Why? It has to do with the way people and computers…
This is a video describing the growing solar energy use in Utah. This is a topic that greatly interests me and so I decided to produce a video about it.
Although Jacob Bernoulli (1654-1705) has been credited as the creator of "Binomial Distribution Table", Gottfried Leibniz (1646-1716) did his dissertation on the subject in 1666; Leibniz you may recall is the co-inventor of "Calculus" and beat Isaac…

729 members asked questions and received personalized solutions in the past 7 days.

Join the community of 500,000 technology professionals and ask your questions.

Join & Ask a Question