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 April 13th, 2010, 12:10 PM #1 Newbie   Joined: Jan 2010 Posts: 13 Thanks: 0 improper integral [1,inf] (x^2+2x+5)/(x^3+x+1) dx [0,1] (e^x)/sqrt(x) dx I know both of them have to do with the p-integral but I am not sure how to can break them down algebraically so they can be solve just the form like (1/x)^p
April 13th, 2010, 03:37 PM   #2
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Re: improper integral

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 Originally Posted by izseekzu [1,inf] (x^2+2x+5)/(x^3+x+1) dx [0,1] (e^x)/sqrt(x) dx I know both of them have to do with the p-integral but I am not sure how to can break them down algebraically so they can be solve just the form like (1/x)^p
The first integral diverges. The integrand ~ 1/x for large x, which is not integrable.

For the second integral, let u=sqrt(x) and see what you get.

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