MacLaurin Approximation for 1-cos(x)/x

  • Thread starter Thread starter SoulofLoneWlf
  • Start date Start date
  • Tags Tags
    Fun
Click For Summary

Homework Help Overview

The discussion revolves around finding the Maclaurin approximation for the integral of the function (1 - cos(x))/x from 0 to 1. Participants are exploring the implications of the series expansion for cos(x) in this context.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the Maclaurin series for cos(x) and its relevance to the problem. There is a focus on understanding the behavior of the function (1 - cos(x))/x, particularly at the lower bound of the integral.

Discussion Status

The conversation is ongoing, with participants attempting to clarify the series expansion and its application to the problem. Some guidance has been offered regarding the series terms, but no consensus or resolution has been reached yet.

Contextual Notes

There is a noted concern about the behavior of the function at the lower limit of integration, specifically regarding the term being over zero. This raises questions about the validity of the series expansion in this context.

SoulofLoneWlf
Messages
29
Reaction score
0
integrate from 0 -> 1
(1-cosx)/x dx

find maclorein approximation
this has been killing me any ideas??
 
Physics news on Phys.org
Start with the Maclauren series for cosx, do you know it?
 
rock.freak667 said:
Start with the Maclauren series for cosx, do you know it?

well one of my issues atm that forgot to add on there is the first term is over zero isn't it? due to the lower bounds and the serious should be 1-1/2x^2 +1/24x^4...
if that helps you find where i am lost :)
 
so

cos(x)=1-\frac{x^2}{2!}+\frac{x^4}{4!}+...

what is 1-cos(x)? Then what is (1-cosx)/x ?
 

Similar threads

Integrate [cosec(30°+x)-cosec(60°+x)] dx in terms of tan x
  • · Replies 3 ·
Replies
3
Views
2K
Maclaurin Series When 0 is in the Denominator?
  • · Replies 48 ·
2
Replies
48
Views
6K
Calculating radius of gyration of plane figure about x-axis
  • · Replies 5 ·
Replies
5
Views
2K
How should I use the averaging approximation to find this?
  • · Replies 3 ·
Replies
3
Views
2K
What are the units of the argument "x" for this cos(x) function integral?
  • · Replies 7 ·
Replies
7
Views
2K
Differentiation of Log(cos(X)/x^2)^2
  • · Replies 6 ·
Replies
6
Views
2K
Evaluating scalar products of two functions
  • · Replies 1 ·
Replies
1
Views
1K
Volume between a region (above x-axis and below parabola) and a surface
  • · Replies 4 ·
Replies
4
Views
2K
Integrating 1/(1+cosx) from -pi/2 to pi/2
  • · Replies 5 ·
Replies
5
Views
1K
Solve ##\int\frac{e^{-x}}{x^2}dx## and ##\int \frac{e^{-x}}{x}dx##
  • · Replies 7 ·
Replies
7
Views
2K