- #1
particlemania
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Homework Statement
Is Time Period = [tex]\int \frac{1}{v} dx[/tex] ??
If yes, the under what limits of integration??
Time Period: Limits of Integration?
- Thread starter particlemania
- Start date
In summary, the conversation discusses whether the time period can be represented as the integral of 1/v with regards to limits of integration. The response explains that it can work for any limits if x is a function of t and v is non-zero, but may still work even if v is 0 at some point.
Is Time Period = [tex]\int \frac{1}{v} dx[/tex] ??
If yes, the under what limits of integration??
- #2
fluidistic
Gold Member
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particlemania said:
Could you please provide more information? What problem are you solving?
- #3
tiny-tim
Science Advisor
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Hi particlemania! 
If x is a function only of t, and if v = dx/dt, and is non-zero, then yes ∫ dx/v = ∫ (dt/dx)dx = ∫ dt, and this should work for any limits.
If v = 0 at some point, it may still work … what do you think?
particlemania said:
If x is a function only of t, and if v = dx/dt, and is non-zero, then yes ∫ dx/v = ∫ (dt/dx)dx = ∫ dt, and this should work for any limits.
If v = 0 at some point, it may still work … what do you think?
FAQ: Time Period: Limits of Integration?
1. What is "Time Period: Limits of Integration"?
"Time Period: Limits of Integration" refers to the specific duration or range of time that is being analyzed or considered in a scientific study or experiment. It helps to establish a clear scope and boundaries for the research being conducted.
2. Why is it important to set limits of integration for a time period?
Setting limits of integration for a time period is important because it helps to ensure that the data being analyzed is relevant and accurate. It also helps to control for any external factors that may affect the results of the study.
3. How do scientists determine the limits of integration for a time period?
The limits of integration for a time period are determined based on the specific research question being asked and the type of data being collected. Scientists may also consider the availability of data and any potential biases or confounding factors that may need to be controlled for.
4. Can the limits of integration for a time period be changed during a study?
Yes, the limits of integration for a time period can be changed during a study if new information or data becomes available. However, it is important for scientists to carefully consider the potential impact of changing the time period on the results of the study.
5. Are there any limitations to using limits of integration for a time period in scientific research?
Yes, there are some limitations to using limits of integration for a time period in scientific research. For example, it may not always be possible to accurately determine the exact boundaries or duration of a particular time period. Additionally, using limits of integration may not account for all potential factors that could affect the results of the study.