How Do You Solve ∫sin(sin(x))dx?

  • Context: Undergrad 
  • Thread starter Thread starter CalculusManiac
  • Start date Start date
  • Tags Tags
    Calculus Integrals
Click For Summary

Discussion Overview

The discussion revolves around the integral ∫sin(sin(x))dx, focusing on methods for evaluating it, including the possibility of expressing it as an infinite sum. The scope includes calculus and integration techniques.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested, Mathematical reasoning

Main Points Raised

  • One participant expresses a desire for assistance with the integral ∫sin(sin(x))dx, indicating it has been a persistent problem.
  • Another participant asserts that the integral cannot be evaluated using standard elementary functions and references a computational tool to support this claim.
  • A participant acknowledges the previous point but inquires about the possibility of evaluating the integral as an infinite sum.
  • Another reply suggests that the integral can indeed be represented as an infinite sum, referencing a specific source for further information.

Areas of Agreement / Disagreement

Participants do not reach a consensus; there are competing views regarding the evaluation of the integral, with some asserting it cannot be expressed in elementary terms while others propose alternative representations.

Contextual Notes

The discussion includes references to external sources that may contain additional information or methods for evaluating the integral, but these sources are not universally accepted within the thread.

CalculusManiac
Messages
4
Reaction score
0
This is a forum where we chat about calculus problems that people are wondering about. I would greatly appreciate it if people also help answer some integration problems that have been nagging me for a while. Like ∫sin(sin(x))dx. Thanks Guys.
 
Physics news on Phys.org
I know that, but is there any way we can evaluate it as an infinite sum? Thanks for your help.
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
5K
Replies
5
Views
4K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 8 ·
Replies
8
Views
4K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 29 ·
Replies
29
Views
5K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 11 ·
Replies
11
Views
3K