Talk:Calculus/Improper Integrals

Todo:
 * 1) add examples which require use of Lhopitals rule to evaluate the limit Juliusross 17:10, 6 October 2005 (UTC)
 * 2) add some examples which require knowledge of special function at infinity (e.g. arcsin) Juliusross 17:10, 6 October 2005 (UTC)
 * 3) many examples for comparison theorem  Juliusross
 * 4) implement a standard for how definitions are presented Juliusross 17:10, 6 October 2005 (UTC)
 * 5) examples of improper integrals with discontinuity (e.g. 1/x^p, ln x, jump discontinuity)

There is a serious error in example 2.
 * I am not sure exactly what you mean by this: the example is itself illustrating that there is a possible error.  I think what is written is OK Juliusross 04:20, 11 January 2006 (UTC)

Example 2
I agree about Example 2. It is an improper integral but to me it is incorrect to say it diverges. The Fundamental Theorem of Calculus answer is correct in this case (which is ln(1)-ln(3) = -ln(3) btw, not ln(5/3)). Perhaps a different example to avoid going into why it converges in this case.