What does it mean if you get 0 for improper

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In summary, the conversation discusses an integral involving secant squared and the use of limits to evaluate it. The person asking the question gets a value of 0 for both limits, but is unsure of what this means. The solution suggests that the integral is improper due to a discontinuity at x = pi/2 and advises graphing the function first.
  • #1
Jbreezy
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Homework Statement



Question ∫ secx^2 dx from 0 to ∏ I get tanx and evaluate it using limits
lim tan(pi) - lim(tan(0)) I get 0 for both. What does it mean.

Homework Equations





The Attempt at a Solution




The integral doesn't converge? I know it doesn't but what does 0 mean. Maybe I did something wrong.
 
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  • #2
Jbreezy said:

Homework Statement



Question ∫ secx^2 dx from 0 to ∏ I get tanx and evaluate it using limits
lim tan(pi) - lim(tan(0)) I get 0 for both. What does it mean.

Homework Equations





The Attempt at a Solution




The integral doesn't converge? I know it doesn't but what does 0 mean. Maybe I did something wrong.

The integrand is undefined at x = ##\pi/2##, which makes the integral an improper one. You can't just blithely integrate across a discontinuity.
 
  • #3
Man! OK I know how to fix it I should graph first always with these.
 

1. What is considered an "improper" value in science?

An improper value in science refers to a measurement or result that is outside the expected or accepted range. It may also indicate an error or inconsistency in the data.

2. Can an improper value be accurate?

No, an improper value is typically considered inaccurate and should be investigated further to determine the cause of the discrepancy.

3. How does an improper value affect the overall results of an experiment?

An improper value can significantly impact the overall results of an experiment by skewing the data and potentially leading to incorrect conclusions.

4. Is there a way to prevent getting 0 for an improper value?

While it is not always possible to prevent improper values, scientists can minimize the likelihood by carefully calibrating equipment and conducting experiments with proper controls and procedures.

5. What should be done if a 0 is obtained for an improper value?

If a 0 is obtained for an improper value, it is important to repeat the measurement or experiment to ensure accuracy. It is also recommended to consult with colleagues or experts in the field to troubleshoot and identify potential sources of error.

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