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Improper Integrals Question

  1. Jun 14, 2013 #1
    Do you need to know how to graph in order to establish which limit of an improper integrals is going to infinity?? for example:

    ∫tan(3x)dx from 0 to ∏/6

    The integral diverges,, but how do you figure which constant you should use
    In this problem they put it as the limit a b aproaches ∏/6 form the left.
    then they just simply integtrate

    Thank you so much!
     
  2. jcsd
  3. Jun 14, 2013 #2
    A full-out graph wouldn't be necessary, but knowledge of tan(x)'s behavior is useful. Plugging in the values should reveal that tan(pi/2) = 1/0 on the unit circle, this requiring an improper integral.
     
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