Thank you in advance,I was just wondering if anybody knows why the

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Discussion Overview

The discussion revolves around the integral of a constant value (1/2) with respect to the variable theta, specifically questioning why this integral equals pi. The scope includes mathematical reasoning and clarification of limits of integration.

Discussion Character

  • Mathematical reasoning

Main Points Raised

  • One participant questions why the integral of 1/2 with respect to theta equals pi.
  • Another participant asks for the limits of integration, suggesting that if the limits are from 0 to 2pi, the calculation leads to the result of pi.
  • A third participant mentions that the question can be easily answered using Wolfram Alpha, which can also show the steps involved in solving the integral.
  • A later reply expresses appreciation for the explanation provided, indicating that it makes sense.

Areas of Agreement / Disagreement

Participants do not appear to disagree on the calculation itself, but the initial question remains open regarding the reasoning behind the integral's value without explicitly stating the limits.

Contextual Notes

The discussion does not clarify the initial limits of integration, which may affect the interpretation of the integral's value.

jherd
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Thank you in advance,

I was just wondering if anybody knows why the integral of a 1/2 with respect to theta = pi?

Thanks
 
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jherd said:
Thank you in advance,

I was just wondering if anybody knows why the integral of a 1/2 with respect to theta = pi?

Thanks

What are the limits of integration?

If the limits are 0 to 2pi, then the answer is simple

[tex]\int_0^{2\pi}0.5 d\theta=0.5[\theta]_0^{2\pi}=0.5(2\pi)=\pi[/tex]
 


These question can also be easily answered by www.wolframalpha.com/
It can even show steps in solving the integral!
 


Thank you! Makes sense!
 

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