Need help with the integration of attached problem

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Discussion Overview

The discussion revolves around the integration and plotting of a mathematical formula as a function of time, specifically with the variable theta changing from 1 to 20. The context is an engineering design problem, and participants are exploring methods to approach the integration and graphing tasks, including the use of software like MATLAB.

Discussion Character

  • Homework-related
  • Technical explanation
  • Exploratory

Main Points Raised

  • One participant requests assistance with integrating and plotting a formula as theta varies from 1 to 20, indicating a lack of confidence in calculus.
  • Another participant inquires about the origin of the problem, questioning whether it is for schoolwork or a professional project.
  • A participant clarifies that the problem is part of an engineering design project and expresses uncertainty about their calculus skills.
  • Some participants suggest using trigonometric identities to simplify the integration process, noting the potential confusion regarding the measurement of angles in degrees versus radians.
  • There is a discussion about whether the angle "20" should be converted to radians, with one participant confirming it is indeed in degrees and considering the conversion.

Areas of Agreement / Disagreement

Participants have not reached a consensus on the best approach to integrate and plot the function. There are multiple viewpoints regarding the handling of angle measurements and the integration process itself.

Contextual Notes

Participants have not fully resolved the implications of using degrees versus radians in their calculations, and there is uncertainty regarding the integration steps and the specific formula to be used.

Shahryar
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Kindly can someone tell me how can i integrate and plot the following formula as a function of time. while theta is changing from 1 to 20.
also attached .docx file for convenience. Any kind of help or advice will be highly appreciable.
integration problem.jpg
 

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Where is the problem from? Is it for schoolwork?
 
berkeman said:
Where is the problem from? Is it for schoolwork?

No its in my engineering design problem. I am just stuck here. I need to plot the graph for theta as a function of time. I am not really good in calculus to be honest.
May be i can use MATLAB to solve !
 
Shahryar said:
No its in my engineering design problem.

What does that mean? An engineering design project for what year in university? An engineering project for work? Where do you work?
 
It would strike me as an obvious first step to use the facts that [itex]sin(20- \theta)= sin(20)cos(\theta)- cos(20)sin(\theta)[/itex] and [itex]cos(20- \theta)= cos(20)cos(\theta)+ sin(20)sin(\theta)[/itex].

That "20" looks strange for radian measure. If it is in degrees you should remember that [itex]\int sin(x)dx= -cos(x)+ C[/itex] and [itex]\int cos(x)= sin(x)+ C[/itex] only for x measured in radians.
 
HallsofIvy said:
It would strike me as an obvious first step to use the facts that [itex]sin(20- \theta)= sin(20)cos(\theta)- cos(20)sin(\theta)[/itex] and [itex]cos(20- \theta)= cos(20)cos(\theta)+ sin(20)sin(\theta)[/itex].

That "20" looks strange for radian measure. If it is in degrees you should remember that [itex]\int sin(x)dx= -cos(x)+ C[/itex] and [itex]\int cos(x)= sin(x)+ C[/itex] only for x measured in radians.

Yes that 20 is actually 20 degrees. should i convert it into radians which is 0.34906585 radians ?
 

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