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What does it mean if you get 0 for improper

  1. Oct 8, 2013 #1
    1. The problem statement, all variables and given/known data

    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.

    2. Relevant equations

    3. 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.
  2. jcsd
  3. Oct 8, 2013 #2


    Staff: Mentor

    The integrand is undefined at x = ##\pi/2##, which makes the integral an improper one. You can't just blithely integrate across a discontinuity.
  4. Oct 8, 2013 #3
    Man! OK I know how to fix it I should graph first always with these.
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