Integrating a Function with Constants: A Physics Perspective

  • Context: Undergrad 
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    Function Integrate
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Discussion Overview

The discussion revolves around the integration of a function with constants in the context of a physics problem related to single-slit diffraction. Participants explore the challenges of solving the integral and consider various approaches to address it.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested, Conceptual clarification

Main Points Raised

  • One participant seeks to integrate a function with respect to x, treating other variables as constants, specifically in relation to a physics problem.
  • Several participants note issues with displaying images, which may be relevant to the discussion.
  • A participant suggests using Wolfram Alpha for the integral but notes that it cannot solve the problem.
  • Another participant raises questions about the derivation of the integral, the expectations set by a professor regarding its integrability, and the possibility of needing numerical methods to solve it.
  • There is a suggestion to plot the integrand to better understand its behavior before attempting to solve the integral.

Areas of Agreement / Disagreement

Participants express uncertainty about the integrability of the function and whether the integral was correctly derived. Multiple viewpoints on how to approach the problem are presented, indicating that the discussion remains unresolved.

Contextual Notes

There are limitations regarding the clarity of the integral's derivation and the potential need for numerical solutions, which are not fully explored in the discussion.

tade
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I would like to integrate w.r.t. x, the rest are constants.

This is not homework; it is related to a physics problem regarding single-slit diffraction.
 
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I guess there's a couple of ideas to consider:

1) Did you correctly derive the integral from your physics problem?

2) Did the Prof say it should be integrable?

3) Its not in my integral tables book so I'm not sure how to solve it which isn't saying much for me but perhaps you'll need to numerically solve it.

4) Have you plotted the integrand to see what kind of curve it is?
 

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