What do the integration limits 5- and 10+ mean in Signals and Systems?

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Discussion Overview

The discussion revolves around the interpretation of integration limits denoted as 5- and 10+ in the context of Signals and Systems. Participants explore the implications of these notations, particularly regarding potential discontinuities and the evaluation of integrals.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant questions the meaning of the notation 5- and 10+, expressing confusion about its significance in integration.
  • Another participant suggests that the notation could be interpreted as $$y=\int_{5_-}^{10_+}f(x)dx$$ and asks for further context or references.
  • A third participant moves the discussion to a different section, indicating that the question may not fit within precalculus topics.
  • One participant proposes that the integral should be expressed as $$\int_{5^+}^{10^-}f(x)dx$$ to indicate discontinuities at the limits, suggesting that this would require breaking the integral into two parts for evaluation.
  • Another participant argues that unless there are delta functions at x = 5 or x = 10, the subscripts + or - have no effect on the integral.
  • A later reply emphasizes the need to wait for clarification from the original poster before making further assumptions about the question.

Areas of Agreement / Disagreement

Participants express differing interpretations of the notation and its implications, with no consensus reached on its meaning or relevance in the context of the integral.

Contextual Notes

There are unresolved assumptions regarding the nature of the function f(x) and the presence of discontinuities or delta functions at the specified limits.

shawrix
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I saw in a question related to Signals and systems that the limits were taken from 5- to 10+ where the signs were in the feet of the numbers..lol..i don't know what you call that. What does this mean?
 
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You mean like: $$y=\int_{5_-}^{10_+}f(x)dx$$ ?

Can you provide a reference or a context?
 
Last edited:
This is not a precalc question. I am moving it to the General Math sections.
 
This would make more sense if the integral were written like this:

$$\int_{5^+}^{10^-}f(x)dx$$

That would indicate that there were discontinuities at 5 and 10. To evaluate such an integral, you need to break the integral into two integrals, and use limits at the problem points.

As stated in post #1, this doesn't make much sense to me.
 
Unless there are delta functions at x = 5 or x = 10, the + or - subscripts on the limits have no effect.
 
Before we postulate further on what the question is asking, we should wait for the OP to return to clarify the question.
 

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