What does it mean if you get 0 for improper

  • Thread starter Jbreezy
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  • #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.
 

Answers and Replies

  • #2
36,212
8,194

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
Jbreezy
582
0
Man! OK I know how to fix it I should graph first always with these.
 

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