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

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The integral of 1/2 with respect to theta equals pi when the limits of integration are from 0 to 2pi. The calculation involves multiplying 0.5 by the difference in the limits, resulting in 0.5 times 2pi, which equals pi. Users are encouraged to utilize tools like Wolfram Alpha for further clarification and step-by-step solutions. The discussion emphasizes the importance of specifying limits in integral calculations. Understanding these concepts is crucial for solving similar mathematical problems.
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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

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


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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